248804864 has 80 divisors (see below), whose sum is σ = 619888896. Its totient is φ = 96921600.

The previous prime is 248804849. The next prime is 248804873. The reversal of 248804864 is 468408842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 36269 + ... + 42579.

Almost surely, 2^248804864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309944448).

248804864 is an abundant number, since it is smaller than the sum of its proper divisors (371084032).

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

248804864 is an equidigital number, since it uses as much as digits as its factorization.

248804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6347 (or 6331 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 44.

The square root of 248804864 is about 15773.5495054220. The cubic root of 248804864 is about 628.9550696976.

The spelling of 248804864 in words is "two hundred forty-eight million, eight hundred four thousand, eight hundred sixty-four".