400815400 has 48 divisors (see below), whose sum is σ = 934315200. Its totient is φ = 159910080.

The previous prime is 400815397. The next prime is 400815433. The reversal of 400815400 is 4518004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81409 + ... + 86191.

It is an arithmetic number, because the mean of its divisors is an integer number (19464900).

Almost surely, 2^400815400 is an apocalyptic number.

400815400 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 400815400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467157600).

400815400 is an abundant number, since it is smaller than the sum of its proper divisors (533499800).

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

400815400 is a wasteful number, since it uses less digits than its factorization.

400815400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5218 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 400815400 is about 20020.3746218696. The cubic root of 400815400 is about 737.3066197951.

The spelling of 400815400 in words is "four hundred million, eight hundred fifteen thousand, four hundred".