400960576 has 21 divisors (see below), whose sum is σ = 795974151. Its totient is φ = 200400192.

The previous prime is 400960517. The next prime is 400960579. The reversal of 400960576 is 675069004.

The square root of 400960576 is 20024.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400960579) 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 2 ways as a sum of consecutive naturals, for example, 158941 + ... + 161443.

It is an arithmetic number, because the mean of its divisors is an integer number (37903531).

Almost surely, 2^400960576 is an apocalyptic number.

400960576 is the 20024-th square number.

It is an amenable number.

400960576 is a deficient number, since it is larger than the sum of its proper divisors (395013575).

400960576 is an frugal number, since it uses more digits than its factorization.

400960576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The cubic root of 400960576 is about 737.3956269417.

The spelling of 400960576 in words is "four hundred million, nine hundred sixty thousand, five hundred seventy-six".