248973920 has 48 divisors (see below), whose sum is σ = 633452400. Its totient is φ = 91928064.

The previous prime is 248973889. The next prime is 248973931. The reversal of 248973920 is 29379842.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57770 + ... + 61929.

It is an arithmetic number, because the mean of its divisors is an integer number (13196925).

Almost surely, 2^248973920 is an apocalyptic number.

248973920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248973920 is an abundant number, since it is smaller than the sum of its proper divisors (384478480).

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

248973920 is a wasteful number, since it uses less digits than its factorization.

248973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119727 (or 119719 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 248973920 is about 15778.9074399972. The cubic root of 248973920 is about 629.0974899505.

The spelling of 248973920 in words is "two hundred forty-eight million, nine hundred seventy-three thousand, nine hundred twenty".