248864160 has 48 divisors (see below), whose sum is σ = 783923616. Its totient is φ = 66363648.

The previous prime is 248864153. The next prime is 248864191. The reversal of 248864160 is 61468842.

It is a tau number, because it is divible by the number of its divisors (48).

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, 258754 + ... + 259713.

It is an arithmetic number, because the mean of its divisors is an integer number (16331742).

Almost surely, 2^248864160 is an apocalyptic number.

248864160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248864160 is an abundant number, since it is smaller than the sum of its proper divisors (535059456).

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

248864160 is a wasteful number, since it uses less digits than its factorization.

248864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518485 (or 518477 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 248864160 is about 15775.4289957516. The cubic root of 248864160 is about 629.0050306147.

The spelling of 248864160 in words is "two hundred forty-eight million, eight hundred sixty-four thousand, one hundred sixty".