248914560 has 64 divisors (see below), whose sum is σ = 793421280. Its totient is φ = 66376704.

The previous prime is 248914559. The next prime is 248914571. The reversal of 248914560 is 65419842.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62902 + ... + 66741.

Almost surely, 2^248914560 is an apocalyptic number.

248914560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248914560 is an abundant number, since it is smaller than the sum of its proper divisors (544506720).

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

248914560 is a wasteful number, since it uses less digits than its factorization.

248914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129665 (or 129653 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 248914560 is about 15777.0263357833. The cubic root of 248914560 is about 629.0474898070.

The spelling of 248914560 in words is "two hundred forty-eight million, nine hundred fourteen thousand, five hundred sixty".