248879520 has 192 divisors, whose sum is σ = 888330240. Its totient is φ = 65055744.

The previous prime is 248879513. The next prime is 248879551. The reversal of 248879520 is 25978842.

248879520 is a `hidden beast` number, since 2 + 48 + 87 + 9 + 520 = 666.

248879520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228417 + ... + 229503.

It is an arithmetic number, because the mean of its divisors is an integer number (4626720).

Almost surely, 2^248879520 is an apocalyptic number.

248879520 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 248879520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444165120).

248879520 is an abundant number, since it is smaller than the sum of its proper divisors (639450720).

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

248879520 is a wasteful number, since it uses less digits than its factorization.

248879520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 248879520 is about 15775.9158212764. The cubic root of 248879520 is about 629.0179711663.

The spelling of 248879520 in words is "two hundred forty-eight million, eight hundred seventy-nine thousand, five hundred twenty".