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464411420 = 225113759967
BaseRepresentation
bin11011101011100…
…101101100011100
31012100212112200222
4123223211230130
51422342131140
6114025540512
714336301104
oct3353455434
91170775628
10464411420
1121916a1a0
1210b644738
13752a4475
1445970204
152ab885b5
hex1bae5b1c

464411420 has 96 divisors (see below), whose sum is σ = 1112348160. Its totient is φ = 161360640.

The previous prime is 464411417. The next prime is 464411501. The reversal of 464411420 is 24114464.

It is a self number, because there is not a number n which added to its sum of digits gives 464411420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479777 + ... + 480743.

It is an arithmetic number, because the mean of its divisors is an integer number (11586960).

Almost surely, 2464411420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556174080).

464411420 is an abundant number, since it is smaller than the sum of its proper divisors (647936740).

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

464411420 is a wasteful number, since it uses less digits than its factorization.

464411420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 464411420 is about 21550.2069595631. The cubic root of 464411420 is about 774.4040760570.

Adding to 464411420 its reverse (24114464), we get a palindrome (488525884).

The spelling of 464411420 in words is "four hundred sixty-four million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 59 74 110 118 148 185 220 236 295 370 407 590 649 740 814 967 1180 1298 1628 1934 2035 2183 2596 3245 3868 4070 4366 4835 6490 8140 8732 9670 10637 10915 12980 19340 21274 21830 24013 35779 42548 43660 48026 53185 57053 71558 96052 106370 114106 120065 143116 178895 212740 228212 240130 285265 357790 393569 480260 570530 627583 715580 787138 1141060 1255166 1574276 1967845 2110961 2510332 3137915 3935690 4221922 6275830 7871380 8443844 10554805 12551660 21109610 23220571 42219220 46441142 92882284 116102855 232205710 464411420