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398475420 = 223571576043
BaseRepresentation
bin10111110000000…
…100000010011100
31000202210122111220
4113300010002130
51304002203140
6103312413340
712605661630
oct2760040234
91022718456
10398475420
11194a24532
12b1547250
1364729695
143acc8dc0
1524eb1bd0
hex17c0409c

398475420 has 96 divisors (see below), whose sum is σ = 1283455488. Its totient is φ = 90484992.

The previous prime is 398475409. The next prime is 398475443. The reversal of 398475420 is 24574893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62919 + ... + 68961.

It is an arithmetic number, because the mean of its divisors is an integer number (13369328).

Almost surely, 2398475420 is an apocalyptic number.

398475420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398475420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641727744).

398475420 is an abundant number, since it is smaller than the sum of its proper divisors (884980068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398475420 is a wasteful number, since it uses less digits than its factorization.

398475420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 398475420 is about 19961.8491127450. The cubic root of 398475420 is about 735.8690077800.

The spelling of 398475420 in words is "three hundred ninety-eight million, four hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 314 420 471 628 785 942 1099 1570 1884 2198 2355 3140 3297 4396 4710 5495 6043 6594 9420 10990 12086 13188 16485 18129 21980 24172 30215 32970 36258 42301 60430 65940 72516 84602 90645 120860 126903 169204 181290 211505 253806 362580 423010 507612 634515 846020 948751 1269030 1897502 2538060 2846253 3795004 4743755 5692506 6641257 9487510 11385012 13282514 14231265 18975020 19923771 26565028 28462530 33206285 39847542 56925060 66412570 79695084 99618855 132825140 199237710 398475420