407468320 has 72 divisors (see below), whose sum is σ = 1119831804. Its totient is φ = 139700736.

The previous prime is 407468317. The next prime is 407468351. The reversal of 407468320 is 23864704.

It can be written as a sum of positive squares in 2 ways, for example, as 391881616 + 15586704 = 19796^2 + 3948^2 .

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 11 ways as a sum of consecutive naturals, for example, 18147 + ... + 33826.

Almost surely, 2^407468320 is an apocalyptic number.

407468320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407468320 is an abundant number, since it is smaller than the sum of its proper divisors (712363484).

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

407468320 is a wasteful number, since it uses less digits than its factorization.

407468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52002 (or 51987 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 407468320 is about 20185.8445451262. The cubic root of 407468320 is about 741.3636409407.

The spelling of 407468320 in words is "four hundred seven million, four hundred sixty-eight thousand, three hundred twenty".