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412404560 = 24512740591
BaseRepresentation
bin11000100101001…
…100101101010000
31001202000022200222
4120211030231100
51321033421220
6104531132212
713135244441
oct3045145520
91052008628
10412404560
111a1878717
12b6144068
1367595789
143cab32c8
1526313e25
hex1894cb50

412404560 has 40 divisors (see below), whose sum is σ = 966414336. Its totient is φ = 163658880.

The previous prime is 412404541. The next prime is 412404571. The reversal of 412404560 is 65404214.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4124045602 = 340155042217587200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10136 + ... + 30455.

Almost surely, 2412404560 is an apocalyptic number.

412404560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412404560 is an abundant number, since it is smaller than the sum of its proper divisors (554009776).

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

412404560 is a wasteful number, since it uses less digits than its factorization.

412404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40731 (or 40725 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 412404560 is about 20307.7463052895. The cubic root of 412404560 is about 744.3453613004.

Adding to 412404560 its reverse (65404214), we get a palindrome (477808774).

The spelling of 412404560 in words is "four hundred twelve million, four hundred four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 40591 81182 162364 202955 324728 405910 649456 811820 1623640 3247280 5155057 10310114 20620228 25775285 41240456 51550570 82480912 103101140 206202280 412404560