412972560 has 640 divisors, whose sum is σ = 1919877120. Its totient is φ = 78796800.

The previous prime is 412972507. The next prime is 412972603. The reversal of 412972560 is 65279214.

412972560 is a `hidden beast` number, since 4 + 1 + 2 + 97 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162065 + ... + 2162255.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^412972560 is an apocalyptic number.

412972560 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 412972560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959938560).

412972560 is an abundant number, since it is smaller than the sum of its proper divisors (1506904560).

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

412972560 is a wasteful number, since it uses less digits than its factorization.

412972560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 412972560 is about 20321.7263046228. The cubic root of 412972560 is about 744.6869306024.

The spelling of 412972560 in words is "four hundred twelve million, nine hundred seventy-two thousand, five hundred sixty".