320131400 has 48 divisors (see below), whose sum is σ = 764439540. Its totient is φ = 124588800.

The previous prime is 320131397. The next prime is 320131421. The reversal of 320131400 is 4131023.

It can be written as a sum of positive squares in 6 ways, for example, as 194825764 + 125305636 = 13958^2 + 11194^2 .

It is a super-2 number, since 2×320131400² = 204968226531920000, which contains 22 as substring.

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, 14231 + ... + 29030.

Almost surely, 2^320131400 is an apocalyptic number.

It is an amenable number.

320131400 is an abundant number, since it is smaller than the sum of its proper divisors (444308140).

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

320131400 is a wasteful number, since it uses less digits than its factorization.

320131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43314 (or 43305 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 320131400 is about 17892.2161846989. The cubic root of 320131400 is about 684.0839870423.

Adding to 320131400 its reverse (4131023), we get a palindrome (324262423).

The spelling of 320131400 in words is "three hundred twenty million, one hundred thirty-one thousand, four hundred".