249813960 has 64 divisors (see below), whose sum is σ = 817577280. Its totient is φ = 60560640.

The previous prime is 249813913. The next prime is 249813983. The reversal of 249813960 is 69318942.

It is a super-2 number, since 2×249813960² = 124814029221763200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 93307 + ... + 95946.

It is an arithmetic number, because the mean of its divisors is an integer number (12774645).

Almost surely, 2^249813960 is an apocalyptic number.

249813960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249813960 is an abundant number, since it is smaller than the sum of its proper divisors (567763320).

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

249813960 is a wasteful number, since it uses less digits than its factorization.

249813960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189278 (or 189274 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 249813960 is about 15805.5041045833. The cubic root of 249813960 is about 629.8042223616.

The spelling of 249813960 in words is "two hundred forty-nine million, eight hundred thirteen thousand, nine hundred sixty".