400688840 has 32 divisors (see below), whose sum is σ = 902119680. Its totient is φ = 160174272.

The previous prime is 400688839. The next prime is 400688843. The reversal of 400688840 is 48886004.

It is a junction number, because it is equal to n+sod(n) for n = 400688794 and 400688803.

It is not an unprimeable number, because it can be changed into a prime (400688843) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 124937 + ... + 128103.

It is an arithmetic number, because the mean of its divisors is an integer number (28191240).

Almost surely, 2^400688840 is an apocalyptic number.

400688840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400688840 is an abundant number, since it is smaller than the sum of its proper divisors (501430840).

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

400688840 is a wasteful number, since it uses less digits than its factorization.

400688840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 400688840 is about 20017.2135923060. The cubic root of 400688840 is about 737.2290085482.

The spelling of 400688840 in words is "four hundred million, six hundred eighty-eight thousand, eight hundred forty".