249872168 has 48 divisors (see below), whose sum is σ = 586936980. Its totient is φ = 98848512.

The previous prime is 249872167. The next prime is 249872177. The reversal of 249872168 is 861278942.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 218980804 + 30891364 = 14798^2 + 5558^2 .

It is a super-2 number, since 2×249872168² = 124872200682040448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (249872167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19421 + ... + 29612.

Almost surely, 2^249872168 is an apocalyptic number.

249872168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249872168 is an abundant number, since it is smaller than the sum of its proper divisors (337064812).

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

249872168 is a wasteful number, since it uses less digits than its factorization.

249872168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49066 (or 49055 counting only the distinct ones).

The product of its digits is 387072, while the sum is 47.

The square root of 249872168 is about 15807.3453811828. The cubic root of 249872168 is about 629.8531344897.

The spelling of 249872168 in words is "two hundred forty-nine million, eight hundred seventy-two thousand, one hundred sixty-eight".