412056960 has 512 divisors, whose sum is σ = 1654456320. Its totient is φ = 85155840.

The previous prime is 412056923. The next prime is 412056979. The reversal of 412056960 is 69650214.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9582699 + ... + 9582741.

It is an arithmetic number, because the mean of its divisors is an integer number (3231360).

Almost surely, 2^412056960 is an apocalyptic number.

412056960 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 412056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827228160).

412056960 is an abundant number, since it is smaller than the sum of its proper divisors (1242399360).

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

412056960 is a wasteful number, since it uses less digits than its factorization.

412056960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 412056960 is about 20299.1861905841. The cubic root of 412056960 is about 744.1361757908.

The spelling of 412056960 in words is "four hundred twelve million, fifty-six thousand, nine hundred sixty".