248914920 has 64 divisors (see below), whose sum is σ = 752670720. Its totient is φ = 65850624.

The previous prime is 248914891. The next prime is 248914921. The reversal of 248914920 is 29419842.

It is not an unprimeable number, because it can be changed into a prime (248914921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7074 + ... + 23406.

It is an arithmetic number, because the mean of its divisors is an integer number (11760480).

Almost surely, 2^248914920 is an apocalyptic number.

248914920 is a gapful number since it is divisible by the number (20) 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 248914920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376335360).

248914920 is an abundant number, since it is smaller than the sum of its proper divisors (503755800).

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

248914920 is a wasteful number, since it uses less digits than its factorization.

248914920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16474 (or 16470 counting only the distinct ones).

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

The square root of 248914920 is about 15777.0377447733. The cubic root of 248914920 is about 629.0477930663.

The spelling of 248914920 in words is "two hundred forty-eight million, nine hundred fourteen thousand, nine hundred twenty".