407059972 has 72 divisors (see below), whose sum is σ = 815980536. Its totient is φ = 177408000.

The previous prime is 407059949. The next prime is 407060011. The reversal of 407059972 is 279950704.

It can be written as a sum of positive squares in 4 ways, for example, as 21958596 + 385101376 = 4686^2 + 19624^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1448472 + ... + 1448752.

It is an arithmetic number, because the mean of its divisors is an integer number (11333063).

Almost surely, 2^407059972 is an apocalyptic number.

It is an amenable number.

407059972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

407059972 is a wasteful number, since it uses less digits than its factorization.

407059972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 407059972 is about 20175.7272979192. The cubic root of 407059972 is about 741.1159034432.

The spelling of 407059972 in words is "four hundred seven million, fifty-nine thousand, nine hundred seventy-two".