248624320 has 112 divisors (see below), whose sum is σ = 716523840. Its totient is φ = 80216064.

The previous prime is 248624317. The next prime is 248624347. The reversal of 248624320 is 23426842.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34816 + ... + 41344.

Almost surely, 2^248624320 is an apocalyptic number.

248624320 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 248624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358261920).

248624320 is an abundant number, since it is smaller than the sum of its proper divisors (467899520).

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

248624320 is a wasteful number, since it uses less digits than its factorization.

248624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 248624320 is about 15767.8254683390. The cubic root of 248624320 is about 628.8029001888.

The spelling of 248624320 in words is "two hundred forty-eight million, six hundred twenty-four thousand, three hundred twenty".