400032576 has 84 divisors (see below), whose sum is σ = 1214099172. Its totient is φ = 125497344.

The previous prime is 400032497. The next prime is 400032599. The reversal of 400032576 is 675230004.

It is a happy number.

400032576 is a `hidden beast` number, since 400 + 0 + 3 + 257 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 369562176 + 30470400 = 19224^2 + 5520^2 .

It is a super-2 number, since 2×400032576² = 320052123722391552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10635 + ... + 30218.

Almost surely, 2^400032576 is an apocalyptic number.

It is an amenable number.

400032576 is an abundant number, since it is smaller than the sum of its proper divisors (814066596).

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

400032576 is a wasteful number, since it uses less digits than its factorization.

400032576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40888 (or 40875 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 400032576 is about 20000.8143834195. The cubic root of 400032576 is about 736.8263010201.

The spelling of 400032576 in words is "four hundred million, thirty-two thousand, five hundred seventy-six".