407973920 has 96 divisors (see below), whose sum is σ = 985446000. Its totient is φ = 159584256.

The previous prime is 407973901. The next prime is 407973941. The reversal of 407973920 is 29379704.

It can be written as a sum of positive squares in 8 ways, for example, as 90706576 + 317267344 = 9524^2 + 17812^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598482 + ... + 2598638.

Almost surely, 2^407973920 is an apocalyptic number.

407973920 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 407973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492723000).

407973920 is an abundant number, since it is smaller than the sum of its proper divisors (577472080).

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

407973920 is a wasteful number, since it uses less digits than its factorization.

407973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 407973920 is about 20198.3642902092. The cubic root of 407973920 is about 741.6701502733.

The spelling of 407973920 in words is "four hundred seven million, nine hundred seventy-three thousand, nine hundred twenty".