249376920 has 64 divisors (see below), whose sum is σ = 805684320. Its totient is φ = 61384704.

The previous prime is 249376901. The next prime is 249376931. The reversal of 249376920 is 29673942.

It is a happy number.

249376920 is digitally balanced in base 2, 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 15 ways as a sum of consecutive naturals, for example, 78369 + ... + 81488.

Almost surely, 2^249376920 is an apocalyptic number.

249376920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249376920 is an abundant number, since it is smaller than the sum of its proper divisors (556307400).

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

249376920 is a wasteful number, since it uses less digits than its factorization.

249376920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159884 (or 159880 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 249376920 is about 15791.6724890051. The cubic root of 249376920 is about 629.4367351504.

The spelling of 249376920 in words is "two hundred forty-nine million, three hundred seventy-six thousand, nine hundred twenty".