249872896 has 160 divisors (see below), whose sum is σ = 637959168. Its totient is φ = 95109120.

The previous prime is 249872867. The next prime is 249872923. The reversal of 249872896 is 698278942.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444266 + ... + 1444438.

Almost surely, 2^249872896 is an apocalyptic number.

249872896 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 249872896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318979584).

249872896 is an abundant number, since it is smaller than the sum of its proper divisors (388086272).

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

249872896 is a wasteful number, since it uses less digits than its factorization.

249872896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The square root of 249872896 is about 15807.3684084354. The cubic root of 249872896 is about 629.8537461793.

The spelling of 249872896 in words is "two hundred forty-nine million, eight hundred seventy-two thousand, eight hundred ninety-six".