400088000 has 112 divisors (see below), whose sum is σ = 1067312064. Its totient is φ = 147686400.

The previous prime is 400087999. The next prime is 400088033. The reversal of 400088000 is 880004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102077 + ... + 105923.

It is an arithmetic number, because the mean of its divisors is an integer number (9529572).

Almost surely, 2^400088000 is an apocalyptic number.

400088000 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 400088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533656032).

400088000 is an abundant number, since it is smaller than the sum of its proper divisors (667224064).

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

400088000 is a wasteful number, since it uses less digits than its factorization.

400088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3887 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 400088000 is about 20002.1998790133. The cubic root of 400088000 is about 736.8603282282.

The spelling of 400088000 in words is "four hundred million, eighty-eight thousand".