400377888 has 72 divisors (see below), whose sum is σ = 1169378028. Its totient is φ = 129848832.

The previous prime is 400377877. The next prime is 400377911. The reversal of 400377888 is 888773004.

It can be written as a sum of positive squares in 2 ways, for example, as 299013264 + 101364624 = 17292^2 + 10068^2 .

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

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, 8131 + ... + 29442.

Almost surely, 2^400377888 is an apocalyptic number.

400377888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

400377888 is an abundant number, since it is smaller than the sum of its proper divisors (769000140).

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

400377888 is a wasteful number, since it uses less digits than its factorization.

400377888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37626 (or 37615 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 400377888 is about 20009.4449698136. Note that the first 3 decimals coincide. The cubic root of 400377888 is about 737.0382519159.

The spelling of 400377888 in words is "four hundred million, three hundred seventy-seven thousand, eight hundred eighty-eight".