248844960 has 480 divisors, whose sum is σ = 1086003072. Its totient is φ = 52254720.

The previous prime is 248844941. The next prime is 248844971. The reversal of 248844960 is 69448842.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 1179255 + ... + 1179465.

Almost surely, 2^248844960 is an apocalyptic number.

248844960 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 248844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543001536).

248844960 is an abundant number, since it is smaller than the sum of its proper divisors (837158112).

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

248844960 is a wasteful number, since it uses less digits than its factorization.

248844960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 248844960 is about 15774.8204427182. The cubic root of 248844960 is about 628.9888541764.

The spelling of 248844960 in words is "two hundred forty-eight million, eight hundred forty-four thousand, nine hundred sixty".