248791296 has 72 divisors (see below), whose sum is σ = 713110720. Its totient is φ = 76548096.

The previous prime is 248791273. The next prime is 248791297. The reversal of 248791296 is 692197842.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (248791297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2476 + ... + 22443.

Almost surely, 2^248791296 is an apocalyptic number.

248791296 is a gapful number since it is divisible by the number (26) 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 248791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356555360).

248791296 is an abundant number, since it is smaller than the sum of its proper divisors (464319424).

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

248791296 is a wasteful number, since it uses less digits than its factorization.

248791296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24951 (or 24937 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 248791296 is about 15773.1194124688. The cubic root of 248791296 is about 628.9436366180.

The spelling of 248791296 in words is "two hundred forty-eight million, seven hundred ninety-one thousand, two hundred ninety-six".