248972832 has 96 divisors (see below), whose sum is σ = 732211200. Its totient is φ = 82301184.

The previous prime is 248972831. The next prime is 248972879. The reversal of 248972832 is 238279842.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (248972831) 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, 108594 + ... + 110862.

It is an arithmetic number, because the mean of its divisors is an integer number (7627200).

Almost surely, 2^248972832 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 248972832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366105600).

248972832 is an abundant number, since it is smaller than the sum of its proper divisors (483238368).

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

248972832 is a wasteful number, since it uses less digits than its factorization.

248972832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2401 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 248972832 is about 15778.8729635548. The cubic root of 248972832 is about 629.0965735773.

The spelling of 248972832 in words is "two hundred forty-eight million, nine hundred seventy-two thousand, eight hundred thirty-two".