249432 has 32 divisors (see below), whose sum is σ = 657600. Its totient is φ = 78624.

The previous prime is 249427. The next prime is 249433. The reversal of 249432 is 234942.

It is a happy number.

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

It is a d-powerful number, because it can be written as 2 + 4 + 4⁴ + 9⁵ + 3¹⁰ + 2¹⁷ .

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 249432.

It is not an unprimeable number, because it can be changed into a prime (249433) by changing a digit.

249432 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (20550).

2²⁴⁹⁴³² 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 249432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328800).

249432 is an abundant number, since it is smaller than the sum of its proper divisors (408168).

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

249432 is a wasteful number, since it uses less digits than its factorization.

249432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 571 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 249432 is about 499.4316770090. The cubic root of 249432 is about 62.9483073070.

The spelling of 249432 in words is "two hundred forty-nine thousand, four hundred thirty-two".