415232960 has 56 divisors (see below), whose sum is σ = 990514656. Its totient is φ = 165800960.

The previous prime is 415232959. The next prime is 415233017. The reversal of 415232960 is 69232514.

It is a happy number.

It is a super-2 number, since 2×415232960² = 344836822140723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 338909 + ... + 340131.

Almost surely, 2^415232960 is an apocalyptic number.

415232960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415232960 is an abundant number, since it is smaller than the sum of its proper divisors (575281696).

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

415232960 is a wasteful number, since it uses less digits than its factorization.

415232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 415232960 is about 20377.2657635906. The cubic root of 415232960 is about 746.0431373254.

The spelling of 415232960 in words is "four hundred fifteen million, two hundred thirty-two thousand, nine hundred sixty".