407984320 has 56 divisors (see below), whose sum is σ = 973250784. Its totient is φ = 162902016.

The previous prime is 407984303. The next prime is 407984323. The reversal of 407984320 is 23489704.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 407984320.

It is not an unprimeable number, because it can be changed into a prime (407984323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 313912 + ... + 315208.

Almost surely, 2^407984320 is an apocalyptic number.

407984320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407984320 is an abundant number, since it is smaller than the sum of its proper divisors (565266464).

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

407984320 is a wasteful number, since it uses less digits than its factorization.

407984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 407984320 is about 20198.6217351581. The cubic root of 407984320 is about 741.6764523951.

The spelling of 407984320 in words is "four hundred seven million, nine hundred eighty-four thousand, three hundred twenty".