400908384 has 72 divisors (see below), whose sum is σ = 1144215072. Its totient is φ = 133152000.

The previous prime is 400908371. The next prime is 400908407. The reversal of 400908384 is 483809004.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×400908384² = 321455064722982912, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82009 + ... + 86759.

It is an arithmetic number, because the mean of its divisors is an integer number (15891876).

Almost surely, 2^400908384 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 400908384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572107536).

400908384 is an abundant number, since it is smaller than the sum of its proper divisors (743306688).

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

400908384 is a wasteful number, since it uses less digits than its factorization.

400908384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 400908384 is about 20022.6967214709. The cubic root of 400908384 is about 737.3636305935.

The spelling of 400908384 in words is "four hundred million, nine hundred eight thousand, three hundred eighty-four".