248684800 has 324 divisors, whose sum is σ = 783749316. Its totient is φ = 77414400.

The previous prime is 248684791. The next prime is 248684801. The reversal of 248684800 is 8486842.

It can be written as a sum of positive squares in 6 ways, for example, as 88510464 + 160174336 = 9408^2 + 12656^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248684801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4076770 + ... + 4076830.

Almost surely, 2^248684800 is an apocalyptic number.

248684800 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 248684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391874658).

248684800 is an abundant number, since it is smaller than the sum of its proper divisors (535064516).

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

248684800 is a wasteful number, since it uses less digits than its factorization.

248684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 248684800 is about 15769.7431811682. The cubic root of 248684800 is about 628.8538832894.

The spelling of 248684800 in words is "two hundred forty-eight million, six hundred eighty-four thousand, eight hundred".