249243408 has 60 divisors (see below), whose sum is σ = 698705280. Its totient is φ = 82941888.

The previous prime is 249243391. The next prime is 249243413. The reversal of 249243408 is 804342942.

249243408 is a `hidden beast` number, since 2 + 4 + 9 + 243 + 408 = 666.

249243408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119785 + ... + 121847.

It is an arithmetic number, because the mean of its divisors is an integer number (11645088).

Almost surely, 2^249243408 is an apocalyptic number.

It is an amenable number.

249243408 is an abundant number, since it is smaller than the sum of its proper divisors (449461872).

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

249243408 is a wasteful number, since it uses less digits than its factorization.

249243408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 249243408 is about 15787.4446317319. Note that the first 3 decimals coincide. The cubic root of 249243408 is about 629.3243853263.

The spelling of 249243408 in words is "two hundred forty-nine million, two hundred forty-three thousand, four hundred eight".