248879904 has 192 divisors, whose sum is σ = 830914560. Its totient is φ = 63452160.

The previous prime is 248879903. The next prime is 248879909. The reversal of 248879904 is 409978842.

248879904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (248879903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270357 + ... + 271275.

It is an arithmetic number, because the mean of its divisors is an integer number (4327680).

Almost surely, 2^248879904 is an apocalyptic number.

248879904 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 248879904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415457280).

248879904 is an abundant number, since it is smaller than the sum of its proper divisors (582034656).

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

248879904 is a wasteful number, since it uses less digits than its factorization.

248879904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 248879904 is about 15775.9279917221. The cubic root of 248879904 is about 629.0182946732.

The spelling of 248879904 in words is "two hundred forty-eight million, eight hundred seventy-nine thousand, nine hundred four".