407884464 has 160 divisors (see below), whose sum is σ = 1283251200. Its totient is φ = 123275520.

The previous prime is 407884459. The next prime is 407884489. The reversal of 407884464 is 464488704.

407884464 is a `hidden beast` number, since 40 + 78 + 84 + 464 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330729 + ... + 331959.

It is an arithmetic number, because the mean of its divisors is an integer number (8020320).

Almost surely, 2^407884464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407884464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641625600).

407884464 is an abundant number, since it is smaller than the sum of its proper divisors (875366736).

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

407884464 is a wasteful number, since it uses less digits than its factorization.

407884464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 407884464 is about 20196.1497320653. The cubic root of 407884464 is about 741.6159379070.

The spelling of 407884464 in words is "four hundred seven million, eight hundred eighty-four thousand, four hundred sixty-four".