248898720 has 96 divisors (see below), whose sum is σ = 896047488. Its totient is φ = 56890368.

The previous prime is 248898707. The next prime is 248898731. The reversal of 248898720 is 27898842.

248898720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 248898720.

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, 33679 + ... + 40398.

It is an arithmetic number, because the mean of its divisors is an integer number (9333828).

Almost surely, 2^248898720 is an apocalyptic number.

248898720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248898720 is an abundant number, since it is smaller than the sum of its proper divisors (647148768).

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

248898720 is a wasteful number, since it uses less digits than its factorization.

248898720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74102 (or 74094 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 248898720 is about 15776.5243320574. The cubic root of 248898720 is about 629.0341461070.

The spelling of 248898720 in words is "two hundred forty-eight million, eight hundred ninety-eight thousand, seven hundred twenty".