248957280 has 576 divisors, whose sum is σ = 1062512640. Its totient is φ = 53913600.

The previous prime is 248957279. The next prime is 248957321. The reversal of 248957280 is 82759842.

248957280 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8030865 + ... + 8030895.

It is an arithmetic number, because the mean of its divisors is an integer number (1844640).

Almost surely, 2^248957280 is an apocalyptic number.

248957280 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 248957280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531256320).

248957280 is an abundant number, since it is smaller than the sum of its proper divisors (813555360).

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

248957280 is a wasteful number, since it uses less digits than its factorization.

248957280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 248957280 is about 15778.3801449959. The cubic root of 248957280 is about 629.0834745395.

The spelling of 248957280 in words is "two hundred forty-eight million, nine hundred fifty-seven thousand, two hundred eighty".