249632 has 24 divisors (see below), whose sum is σ = 510300. Its totient is φ = 120064.

The previous prime is 249607. The next prime is 249647. The reversal of 249632 is 236942.

249632 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 234256 + 15376 = 484^2 + 124^2 .

It is a super-2 number, since 2×249632² = 124632270848, which contains 22 as substring.

It is an unprimeable number.

249632 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 3 ways as a sum of consecutive naturals, for example, 794 + ... + 1062.

2²⁴⁹⁶³² 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 249632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255150).

249632 is an abundant number, since it is smaller than the sum of its proper divisors (260668).

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

249632 is a wasteful number, since it uses less digits than its factorization.

249632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 249632 is about 499.6318644762. The cubic root of 249632 is about 62.9651272527.

The spelling of 249632 in words is "two hundred forty-nine thousand, six hundred thirty-two".