248228400 has 240 divisors, whose sum is σ = 941011200. Its totient is φ = 54727680.

The previous prime is 248228381. The next prime is 248228411. The reversal of 248228400 is 4822842.

248228400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243091 + ... + 244109.

It is an arithmetic number, because the mean of its divisors is an integer number (3920880).

Almost surely, 2^248228400 is an apocalyptic number.

248228400 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 248228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470505600).

248228400 is an abundant number, since it is smaller than the sum of its proper divisors (692782800).

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

248228400 is a wasteful number, since it uses less digits than its factorization.

248228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 248228400 is about 15755.2657863966. The cubic root of 248228400 is about 628.4689453147.

The spelling of 248228400 in words is "two hundred forty-eight million, two hundred twenty-eight thousand, four hundred".