248157920 has 48 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 99009024.

The previous prime is 248157919. The next prime is 248157937. The reversal of 248157920 is 29751842.

248157920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68474 + ... + 72006.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 2^248157920 is an apocalyptic number.

248157920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248157920 is an abundant number, since it is smaller than the sum of its proper divisors (339616960).

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

248157920 is a wasteful number, since it uses less digits than its factorization.

248157920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 248157920 is about 15753.0289151007. The cubic root of 248157920 is about 628.4094588577.

The spelling of 248157920 in words is "two hundred forty-eight million, one hundred fifty-seven thousand, nine hundred twenty".