249131988 has 72 divisors (see below), whose sum is σ = 722973888. Its totient is φ = 70858368.

The previous prime is 249131983. The next prime is 249132029. The reversal of 249131988 is 889131942.

249131988 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249131983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56595 + ... + 60837.

It is an arithmetic number, because the mean of its divisors is an integer number (10041304).

Almost surely, 2^249131988 is an apocalyptic number.

249131988 is a gapful number since it is divisible by the number (28) 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 249131988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361486944).

249131988 is an abundant number, since it is smaller than the sum of its proper divisors (473841900).

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

249131988 is a wasteful number, since it uses less digits than its factorization.

249131988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4488 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 249131988 is about 15783.9154838082. The cubic root of 249131988 is about 629.2305951171.

The spelling of 249131988 in words is "two hundred forty-nine million, one hundred thirty-one thousand, nine hundred eighty-eight".