248880000 has 320 divisors, whose sum is σ = 889027920. Its totient is φ = 61440000.

The previous prime is 248879971. The next prime is 248880013. The reversal of 248880000 is 88842.

248880000 is digitally balanced in base 2 and base 3, because in such bases 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 (320).

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

It is a self number, because there is not a number n which added to its sum of digits gives 248880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4079970 + ... + 4080030.

Almost surely, 2^248880000 is an apocalyptic number.

248880000 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 248880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444513960).

248880000 is an abundant number, since it is smaller than the sum of its proper divisors (640147920).

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

248880000 is an equidigital number, since it uses as much as digits as its factorization.

248880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 248880000 is about 15775.9310343320. The cubic root of 248880000 is about 629.0183755499.

The spelling of 248880000 in words is "two hundred forty-eight million, eight hundred eighty thousand".