400388800 has 126 divisors (see below), whose sum is σ = 1146281172. Its totient is φ = 137249280.

The previous prime is 400388783. The next prime is 400388861. The reversal of 400388800 is 8883004.

It is a super-2 number, since 2×400388800² = 320622382330880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75847 + ... + 80953.

Almost surely, 2^400388800 is an apocalyptic number.

400388800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573140586).

400388800 is an abundant number, since it is smaller than the sum of its proper divisors (745892372).

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

400388800 is a wasteful number, since it uses less digits than its factorization.

400388800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 400388800 is about 20009.7176391872. The cubic root of 400388800 is about 737.0449476640.

The spelling of 400388800 in words is "four hundred million, three hundred eighty-eight thousand, eight hundred".