248864904 has 48 divisors (see below), whose sum is σ = 713660220. Its totient is φ = 78074880.

The previous prime is 248864897. The next prime is 248864911. The reversal of 248864904 is 409468842.

248864904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248864897) and next prime (248864911).

It can be written as a sum of positive squares in 2 ways, for example, as 229522500 + 19342404 = 15150^2 + 4398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 248864904.

It is a congruent number.

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, 100437 + ... + 102884.

Almost surely, 2^248864904 is an apocalyptic number.

248864904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248864904 is an abundant number, since it is smaller than the sum of its proper divisors (464795316).

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

248864904 is a wasteful number, since it uses less digits than its factorization.

248864904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203350 (or 203343 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248864904 is about 15775.4525767092. The cubic root of 248864904 is about 629.0056574349.

The spelling of 248864904 in words is "two hundred forty-eight million, eight hundred sixty-four thousand, nine hundred four".