400234032 has 120 divisors (see below), whose sum is σ = 1255135440. Its totient is φ = 117987840.

The previous prime is 400234027. The next prime is 400234049. The reversal of 400234032 is 230432004.

400234032 is a `hidden beast` number, since 400 + 234 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400233996 and 400234014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55194 + ... + 62022.

It is an arithmetic number, because the mean of its divisors is an integer number (10459462).

Almost surely, 2^400234032 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 400234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627567720).

400234032 is an abundant number, since it is smaller than the sum of its proper divisors (854901408).

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

400234032 is a wasteful number, since it uses less digits than its factorization.

400234032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6891 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 400234032 is about 20005.8499444537. The cubic root of 400234032 is about 736.9499685891.

Adding to 400234032 its reverse (230432004), we get a palindrome (630666036).

It can be divided in two parts, 400 and 234032, that added together give a palindrome (234432).

The spelling of 400234032 in words is "four hundred million, two hundred thirty-four thousand, thirty-two".