248502400 has 96 divisors (see below), whose sum is σ = 622281600. Its totient is φ = 98042880.

The previous prime is 248502391. The next prime is 248502431. The reversal of 248502400 is 4205842.

It is a happy number.

248502400 is digitally balanced in base 2, 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 (25).

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, 252309 + ... + 253291.

It is an arithmetic number, because the mean of its divisors is an integer number (6482100).

Almost surely, 2^248502400 is an apocalyptic number.

248502400 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 248502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311140800).

248502400 is an abundant number, since it is smaller than the sum of its proper divisors (373779200).

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

248502400 is an equidigital number, since it uses as much as digits as its factorization.

248502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 248502400 is about 15763.9588936282. The cubic root of 248502400 is about 628.7000995934.

The spelling of 248502400 in words is "two hundred forty-eight million, five hundred two thousand, four hundred".