248921904 has 80 divisors (see below), whose sum is σ = 801734400. Its totient is φ = 64654080.

The previous prime is 248921891. The next prime is 248921927. The reversal of 248921904 is 409129842.

It is a super-2 number, since 2×248921904² = 123924228581970432, which contains 22 as substring.

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, 29979 + ... + 37370.

It is an arithmetic number, because the mean of its divisors is an integer number (10021680).

Almost surely, 2^248921904 is an apocalyptic number.

248921904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248921904 is an abundant number, since it is smaller than the sum of its proper divisors (552812496).

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

248921904 is a wasteful number, since it uses less digits than its factorization.

248921904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67378 (or 67372 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 248921904 is about 15777.2590775458. The cubic root of 248921904 is about 629.0536762394.

It can be divided in two parts, 24892 and 1904, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 248921904 in words is "two hundred forty-eight million, nine hundred twenty-one thousand, nine hundred four".