249600640 has 32 divisors (see below), whose sum is σ = 596703060. Its totient is φ = 99840000.

The previous prime is 249600607. The next prime is 249600667. The reversal of 249600640 is 46006942.

It can be written as a sum of positive squares in 2 ways, for example, as 230310976 + 19289664 = 15176^2 + 4392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 194361 + ... + 195640.

Almost surely, 2^249600640 is an apocalyptic number.

249600640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249600640 is an abundant number, since it is smaller than the sum of its proper divisors (347102420).

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

249600640 is an equidigital number, since it uses as much as digits as its factorization.

249600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390020 (or 390008 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 249600640 is about 15798.7543812796. The cubic root of 249600640 is about 629.6249047926.

The spelling of 249600640 in words is "two hundred forty-nine million, six hundred thousand, six hundred forty".