400994432 has 64 divisors (see below), whose sum is σ = 827026200. Its totient is φ = 193536000.

The previous prime is 400994431. The next prime is 400994437. The reversal of 400994432 is 234499004.

It can be written as a sum of positive squares in 4 ways, for example, as 348344896 + 52649536 = 18664^2 + 7256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 400994392 and 400994401.

It is not an unprimeable number, because it can be changed into a prime (400994431) 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, 571682 + ... + 572382.

Almost surely, 2^400994432 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 400994432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413513100).

400994432 is an abundant number, since it is smaller than the sum of its proper divisors (426031768).

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

400994432 is a wasteful number, since it uses less digits than its factorization.

400994432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 400994432 is about 20024.8453676926. The cubic root of 400994432 is about 737.4163809054.

The spelling of 400994432 in words is "four hundred million, nine hundred ninety-four thousand, four hundred thirty-two".