407800464 has 40 divisors (see below), whose sum is σ = 1054670592. Its totient is φ = 135780480.

The previous prime is 407800457. The next prime is 407800469. The reversal of 407800464 is 464008704.

It is not an unprimeable number, because it can be changed into a prime (407800469) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43282 + ... + 51854.

Almost surely, 2^407800464 is an apocalyptic number.

It is an amenable number.

407800464 is an abundant number, since it is smaller than the sum of its proper divisors (646870128).

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

407800464 is a wasteful number, since it uses less digits than its factorization.

407800464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 407800464 is about 20194.0700206769. The cubic root of 407800464 is about 741.5650247839.

The spelling of 407800464 in words is "four hundred seven million, eight hundred thousand, four hundred sixty-four".