400413516 has 48 divisors (see below), whose sum is σ = 967625568. Its totient is φ = 128793600.

The previous prime is 400413499. The next prime is 400413551. The reversal of 400413516 is 615314004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33636 + ... + 43956.

It is an arithmetic number, because the mean of its divisors is an integer number (20158866).

Almost surely, 2^400413516 is an apocalyptic number.

It is an amenable number.

400413516 is an abundant number, since it is smaller than the sum of its proper divisors (567212052).

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

400413516 is a wasteful number, since it uses less digits than its factorization.

400413516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10442 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 400413516 is about 20010.3352295757. The cubic root of 400413516 is about 737.0601132797.

The spelling of 400413516 in words is "four hundred million, four hundred thirteen thousand, five hundred sixteen".