249979408 has 40 divisors (see below), whose sum is σ = 556962368. Its totient is φ = 106468992.

The previous prime is 249979399. The next prime is 249979423. The reversal of 249979408 is 804979942.

It is a happy number.

It is a nialpdrome in base 16.

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, 11410 + ... + 25102.

Almost surely, 2^249979408 is an apocalyptic number.

249979408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249979408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278481184).

249979408 is an abundant number, since it is smaller than the sum of its proper divisors (306982960).

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

249979408 is a wasteful number, since it uses less digits than its factorization.

249979408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13871 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The square root of 249979408 is about 15810.7371112165. The cubic root of 249979408 is about 629.9432282764.

The spelling of 249979408 in words is "two hundred forty-nine million, nine hundred seventy-nine thousand, four hundred eight".