248792992 has 96 divisors (see below), whose sum is σ = 601776000. Its totient is φ = 100929024.

The previous prime is 248792981. The next prime is 248792993. The reversal of 248792992 is 299297842.

It is not an unprimeable number, because it can be changed into a prime (248792993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 207948 + ... + 209140.

It is an arithmetic number, because the mean of its divisors is an integer number (6268500).

Almost surely, 2^248792992 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 248792992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300888000).

248792992 is an abundant number, since it is smaller than the sum of its proper divisors (352983008).

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

248792992 is a wasteful number, since it uses less digits than its factorization.

248792992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1221 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 248792992 is about 15773.1731747293. The cubic root of 248792992 is about 628.9450657757.

The spelling of 248792992 in words is "two hundred forty-eight million, seven hundred ninety-two thousand, nine hundred ninety-two".