248513160 has 256 divisors, whose sum is σ = 937267200. Its totient is φ = 51397632.

The previous prime is 248513159. The next prime is 248513173. The reversal of 248513160 is 61315842.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366742 + ... + 367418.

It is an arithmetic number, because the mean of its divisors is an integer number (3661200).

Almost surely, 2^248513160 is an apocalyptic number.

248513160 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 248513160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468633600).

248513160 is an abundant number, since it is smaller than the sum of its proper divisors (688754040).

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

248513160 is a wasteful number, since it uses less digits than its factorization.

248513160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 248513160 is about 15764.3001747620. The cubic root of 248513160 is about 628.7091735708.

The spelling of 248513160 in words is "two hundred forty-eight million, five hundred thirteen thousand, one hundred sixty".