249932144 has 120 divisors (see below), whose sum is σ = 624500208. Its totient is φ = 95800320.

The previous prime is 249932143. The next prime is 249932161. The reversal of 249932144 is 441239942.

It is a junction number, because it is equal to n+sod(n) for n = 249932098 and 249932107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249932143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629354 + ... + 629750.

Almost surely, 2^249932144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249932144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312250104).

249932144 is an abundant number, since it is smaller than the sum of its proper divisors (374568064).

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

249932144 is a wasteful number, since it uses less digits than its factorization.

249932144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 490 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 249932144 is about 15809.2423600880. The cubic root of 249932144 is about 629.9035243215.

It can be divided in two parts, 2499 and 32144, that added together give a palindrome (34643).

The spelling of 249932144 in words is "two hundred forty-nine million, nine hundred thirty-two thousand, one hundred forty-four".