248908320 has 72 divisors (see below), whose sum is σ = 849404556. Its totient is φ = 66375168.

The previous prime is 248908301. The next prime is 248908327. The reversal of 248908320 is 23809842.

248908320 is a `hidden beast` number, since 248 + 90 + 8 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217503504 + 31404816 = 14748^2 + 5604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (248908327) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84987 + ... + 87866.

Almost surely, 2^248908320 is an apocalyptic number.

248908320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248908320 is an abundant number, since it is smaller than the sum of its proper divisors (600496236).

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

248908320 is a wasteful number, since it uses less digits than its factorization.

248908320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172874 (or 172863 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 248908320 is about 15776.8285786466. The cubic root of 248908320 is about 629.0422332655.

The spelling of 248908320 in words is "two hundred forty-eight million, nine hundred eight thousand, three hundred twenty".