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412489360 = 245172313187
BaseRepresentation
bin11000100101100…
…001011010010000
31001202011122000201
4120211201122100
51321044124420
6104533024544
713136046613
oct3045413220
91052148021
10412489360
111a19263a8
12b6185154
13675c525a
143cad617a
152632e10a
hex18961690

412489360 has 80 divisors (see below), whose sum is σ = 1059682176. Its totient is φ = 148527104.

The previous prime is 412489349. The next prime is 412489361. The reversal of 412489360 is 63984214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4124893602 = 340294944226419200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (412489361) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24687 + ... + 37873.

Almost surely, 2412489360 is an apocalyptic number.

412489360 is a gapful number since it is divisible by the number (40) 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 412489360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529841088).

412489360 is an abundant number, since it is smaller than the sum of its proper divisors (647192816).

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

412489360 is a wasteful number, since it uses less digits than its factorization.

412489360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13240 (or 13234 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 412489360 is about 20309.8340712080. The cubic root of 412489360 is about 744.3963760618.

The spelling of 412489360 in words is "four hundred twelve million, four hundred eighty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 23 34 40 46 68 80 85 92 115 136 170 184 230 272 340 368 391 460 680 782 920 1360 1564 1840 1955 3128 3910 6256 7820 13187 15640 26374 31280 52748 65935 105496 131870 210992 224179 263740 303301 448358 527480 606602 896716 1054960 1120895 1213204 1516505 1793432 2241790 2426408 3033010 3586864 4483580 4852816 5156117 6066020 8967160 10312234 12132040 17934320 20624468 24264080 25780585 41248936 51561170 82497872 103122340 206244680 412489360