249884960 has 96 divisors (see below), whose sum is σ = 669332160. Its totient is φ = 87395328.

The previous prime is 249884959. The next prime is 249884963. The reversal of 249884960 is 69488942.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 249884899 and 249884908.

It is not an unprimeable number, because it can be changed into a prime (249884963) 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, 36359 + ... + 42681.

It is an arithmetic number, because the mean of its divisors is an integer number (6972210).

Almost surely, 2^249884960 is an apocalyptic number.

249884960 is a gapful number since it is divisible by the number (20) 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 249884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334666080).

249884960 is an abundant number, since it is smaller than the sum of its proper divisors (419447200).

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

249884960 is a wasteful number, since it uses less digits than its factorization.

249884960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 50.

The square root of 249884960 is about 15807.7499980231. The cubic root of 249884960 is about 629.8638825772.

The spelling of 249884960 in words is "two hundred forty-nine million, eight hundred eighty-four thousand, nine hundred sixty".