249995460 has 96 divisors (see below), whose sum is σ = 822390912. Its totient is φ = 55941120.

The previous prime is 249995423. The next prime is 249995479. The reversal of 249995460 is 64599942.

It is a super-2 number, since 2×249995460² = 124995460041223200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5989 + ... + 23148.

It is an arithmetic number, because the mean of its divisors is an integer number (8566572).

Almost surely, 2^249995460 is an apocalyptic number.

249995460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249995460 is an abundant number, since it is smaller than the sum of its proper divisors (572395452).

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

249995460 is a wasteful number, since it uses less digits than its factorization.

249995460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29173 (or 29171 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 249995460 is about 15811.2447327843. The cubic root of 249995460 is about 629.9567115633.

The spelling of 249995460 in words is "two hundred forty-nine million, nine hundred ninety-five thousand, four hundred sixty".