249072960 has 56 divisors (see below), whose sum is σ = 790809696. Its totient is φ = 66419200.

The previous prime is 249072959. The next prime is 249072973. The reversal of 249072960 is 69270942.

249072960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128766 + ... + 130685.

Almost surely, 2^249072960 is an apocalyptic number.

249072960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249072960 is an abundant number, since it is smaller than the sum of its proper divisors (541736736).

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

249072960 is a wasteful number, since it uses less digits than its factorization.

249072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259471 (or 259461 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 249072960 is about 15782.0454948020. The cubic root of 249072960 is about 629.1808956818.

The spelling of 249072960 in words is "two hundred forty-nine million, seventy-two thousand, nine hundred sixty".