248428800 has 324 divisors, whose sum is σ = 939054480. Its totient is φ = 62484480.

The previous prime is 248428777. The next prime is 248428801. The reversal of 248428800 is 8824842.

248428800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (248428801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1094287 + ... + 1094513.

Almost surely, 2^248428800 is an apocalyptic number.

248428800 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 248428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469527240).

248428800 is an abundant number, since it is smaller than the sum of its proper divisors (690625680).

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

248428800 is a wasteful number, since it uses less digits than its factorization.

248428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 248428800 is about 15761.6242817801. The cubic root of 248428800 is about 628.6380252146.

The spelling of 248428800 in words is "two hundred forty-eight million, four hundred twenty-eight thousand, eight hundred".