248232960 has 132 divisors (see below), whose sum is σ = 860280408. Its totient is φ = 66183168.

The previous prime is 248232949. The next prime is 248233009. The reversal of 248232960 is 69232842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43387 + ... + 48773.

Almost surely, 2^248232960 is an apocalyptic number.

248232960 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 248232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430140204).

248232960 is an abundant number, since it is smaller than the sum of its proper divisors (612047448).

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

248232960 is a wasteful number, since it uses less digits than its factorization.

248232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 248232960 is about 15755.4104992539. The cubic root of 248232960 is about 628.4727936534.

The spelling of 248232960 in words is "two hundred forty-eight million, two hundred thirty-two thousand, nine hundred sixty".