249794904 has 64 divisors (see below), whose sum is σ = 660672000. Its totient is φ = 78541056.

The previous prime is 249794899. The next prime is 249794947. The reversal of 249794904 is 409497942.

249794904 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, 37197 + ... + 43395.

It is an arithmetic number, because the mean of its divisors is an integer number (10323000).

Almost surely, 2^249794904 is an apocalyptic number.

249794904 is a gapful number since it is divisible by the number (24) 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 249794904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330336000).

249794904 is an abundant number, since it is smaller than the sum of its proper divisors (410877096).

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

249794904 is a wasteful number, since it uses less digits than its factorization.

249794904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 249794904 is about 15804.9012651139. The cubic root of 249794904 is about 629.7882079717.

The spelling of 249794904 in words is "two hundred forty-nine million, seven hundred ninety-four thousand, nine hundred four".