248909904 has 30 divisors (see below), whose sum is σ = 696602426. Its totient is φ = 82969920.

The previous prime is 248909879. The next prime is 248909909. The reversal of 248909904 is 409909842.

It can be written as a sum of positive squares in only one way, i.e., 226442304 + 22467600 = 15048^2 + 4740^2 .

It is a super-2 number, since 2×248909904² = 123912280618578432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 248909904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248909909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 864127 + ... + 864414.

Almost surely, 2^248909904 is an apocalyptic number.

248909904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248909904 is an abundant number, since it is smaller than the sum of its proper divisors (447692522).

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

248909904 is a wasteful number, since it uses less digits than its factorization.

248909904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728555 (or 1728546 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 248909904 is about 15776.8787787699. The cubic root of 248909904 is about 629.0435676267.

The spelling of 248909904 in words is "two hundred forty-eight million, nine hundred nine thousand, nine hundred four".