248880576 has 112 divisors (see below), whose sum is σ = 756391680. Its totient is φ = 70748160.

The previous prime is 248880571. The next prime is 248880587. The reversal of 248880576 is 675088842.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×248880576² = 123883082220183552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248880571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377335 + ... + 377993.

Almost surely, 2^248880576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378195840).

248880576 is an abundant number, since it is smaller than the sum of its proper divisors (507511104).

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

248880576 is a wasteful number, since it uses less digits than its factorization.

248880576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 248880576 is about 15775.9492899794. The cubic root of 248880576 is about 629.0188608096.

The spelling of 248880576 in words is "two hundred forty-eight million, eight hundred eighty thousand, five hundred seventy-six".