416008464 has 40 divisors (see below), whose sum is σ = 1103738880. Its totient is φ = 134921088.

The previous prime is 416008441. The next prime is 416008487. The reversal of 416008464 is 464800614.

It is an interprime number because it is at equal distance from previous prime (416008441) and next prime (416008487).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115344 + ... + 118895.

It is an arithmetic number, because the mean of its divisors is an integer number (27593472).

Almost surely, 2^416008464 is an apocalyptic number.

It is an amenable number.

416008464 is an abundant number, since it is smaller than the sum of its proper divisors (687730416).

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

416008464 is a wasteful number, since it uses less digits than its factorization.

416008464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234287 (or 234281 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 416008464 is about 20396.2855441867. The cubic root of 416008464 is about 746.5072941455.

The spelling of 416008464 in words is "four hundred sixteen million, eight thousand, four hundred sixty-four".