400088832 has 144 divisors (see below), whose sum is σ = 1251320448. Its totient is φ = 111882240.

The previous prime is 400088827. The next prime is 400088839. The reversal of 400088832 is 238880004.

It is a super-2 number, since 2×400088832² = 320142146982248448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 400088793 and 400088802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400088839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108003 + ... + 111645.

Almost surely, 2^400088832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625660224).

400088832 is an abundant number, since it is smaller than the sum of its proper divisors (851231616).

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

400088832 is a wasteful number, since it uses less digits than its factorization.

400088832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 400088832 is about 20002.2206767149. The cubic root of 400088832 is about 736.8608390053.

The spelling of 400088832 in words is "four hundred million, eighty-eight thousand, eight hundred thirty-two".