249891408 has 120 divisors (see below), whose sum is σ = 759638880. Its totient is φ = 76227840.

The previous prime is 249891391. The next prime is 249891409. The reversal of 249891408 is 804198942.

249891408 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 not an unprimeable number, because it can be changed into a prime (249891409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244723 + ... + 245741.

It is an arithmetic number, because the mean of its divisors is an integer number (6330324).

Almost surely, 2^249891408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249891408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379819440).

249891408 is an abundant number, since it is smaller than the sum of its proper divisors (509747472).

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

249891408 is a wasteful number, since it uses less digits than its factorization.

249891408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 249891408 is about 15807.9539473013. The cubic root of 249891408 is about 629.8693001734.

The spelling of 249891408 in words is "two hundred forty-nine million, eight hundred ninety-one thousand, four hundred eight".