407972664 has 192 divisors, whose sum is σ = 1291062240. Its totient is φ = 115015680.

The previous prime is 407972659. The next prime is 407972671. The reversal of 407972664 is 466279704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2113752 + ... + 2113944.

Almost surely, 2^407972664 is an apocalyptic number.

407972664 is a gapful number since it is divisible by the number (44) 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 407972664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645531120).

407972664 is an abundant number, since it is smaller than the sum of its proper divisors (883089576).

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

407972664 is a wasteful number, since it uses less digits than its factorization.

407972664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 407972664 is about 20198.3331985587. Note that the first 3 decimals coincide. The cubic root of 407972664 is about 741.6693891637.

The spelling of 407972664 in words is "four hundred seven million, nine hundred seventy-two thousand, six hundred sixty-four".