249892048 has 40 divisors (see below), whose sum is σ = 566838720. Its totient is φ = 104482560.

The previous prime is 249892037. The next prime is 249892057. The reversal of 249892048 is 840298942.

It is a junction number, because it is equal to n+sod(n) for n = 249891989 and 249892007.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22618 + ... + 31801.

It is an arithmetic number, because the mean of its divisors is an integer number (14170968).

Almost surely, 2^249892048 is an apocalyptic number.

249892048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249892048 is an abundant number, since it is smaller than the sum of its proper divisors (316946672).

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

249892048 is a wasteful number, since it uses less digits than its factorization.

249892048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54475 (or 54469 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 249892048 is about 15807.9741902623. The cubic root of 249892048 is about 629.8698378949.

The spelling of 249892048 in words is "two hundred forty-nine million, eight hundred ninety-two thousand, forty-eight".