249144 has 32 divisors (see below), whose sum is σ = 712320. Its totient is φ = 71136.

The previous prime is 249143. The next prime is 249181. The reversal of 249144 is 441942.

It is a super-3 number, since 3×249144³ = 46395146774333952, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249144.

It is not an unprimeable number, because it can be changed into a prime (249143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (22260).

2²⁴⁹¹⁴⁴ is an apocalyptic number.

249144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249144 is an abundant number, since it is smaller than the sum of its proper divisors (463176).

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

249144 is a wasteful number, since it uses less digits than its factorization.

249144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1495 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 249144 is about 499.1432660069. The cubic root of 249144 is about 62.9240707824.

It can be divided in two parts, 249 and 144, that added together give a palindrome (393).

The spelling of 249144 in words is "two hundred forty-nine thousand, one hundred forty-four".