400432 has 20 divisors (see below), whose sum is σ = 803520. Its totient is φ = 193088.

The previous prime is 400429. The next prime is 400441. The reversal of 400432 is 234004.

400432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

400432 is a modest number, since divided by 432 gives 400 as remainder.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 895.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2⁴⁰⁰⁴³² 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 400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

400432 is an abundant number, since it is smaller than the sum of its proper divisors (403088).

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

400432 is a wasteful number, since it uses less digits than its factorization.

400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 400432 is about 632.7969658587. The cubic root of 400432 is about 73.7071454563.

Adding to 400432 its reverse (234004), we get a palindrome (634436).

The spelling of 400432 in words is "four hundred thousand, four hundred thirty-two".