249768864 has 36 divisors (see below), whose sum is σ = 710281026. Its totient is φ = 83256192.

The previous prime is 249768821. The next prime is 249768877. The reversal of 249768864 is 468867942.

249768864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 246741264 + 3027600 = 15708^2 + 1740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 249768864.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 433339 + ... + 433914.

Almost surely, 2^249768864 is an apocalyptic number.

249768864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249768864 is an abundant number, since it is smaller than the sum of its proper divisors (460512162).

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

249768864 is a wasteful number, since it uses less digits than its factorization.

249768864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867269 (or 867258 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 249768864 is about 15804.0774485574. The cubic root of 249768864 is about 629.7663230112.

The spelling of 249768864 in words is "two hundred forty-nine million, seven hundred sixty-eight thousand, eight hundred sixty-four".