248652800 has 132 divisors (see below), whose sum is σ = 673151856. Its totient is φ = 90316800.

The previous prime is 248652787. The next prime is 248652821. The reversal of 248652800 is 8256842.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281159 + ... + 282041.

Almost surely, 2^248652800 is an apocalyptic number.

248652800 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 248652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336575928).

248652800 is an abundant number, since it is smaller than the sum of its proper divisors (424499056).

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

248652800 is a wasteful number, since it uses less digits than its factorization.

248652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 248652800 is about 15768.7285473497. The cubic root of 248652800 is about 628.8269091338.

The spelling of 248652800 in words is "two hundred forty-eight million, six hundred fifty-two thousand, eight hundred".