400509832 has 32 divisors (see below), whose sum is σ = 776401920. Its totient is φ = 193489920.

The previous prime is 400509827. The next prime is 400509841. The reversal of 400509832 is 238905004.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 400509794 and 400509803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301153 + ... + 302479.

It is an arithmetic number, because the mean of its divisors is an integer number (24262560).

Almost surely, 2^400509832 is an apocalyptic number.

It is an amenable number.

400509832 is a deficient number, since it is larger than the sum of its proper divisors (375892088).

400509832 is a wasteful number, since it uses less digits than its factorization.

400509832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 400509832 is about 20012.7417412008. The cubic root of 400509832 is about 737.1192063487.

The spelling of 400509832 in words is "four hundred million, five hundred nine thousand, eight hundred thirty-two".