249624 has 24 divisors (see below), whose sum is σ = 676260. Its totient is φ = 83184.

The previous prime is 249607. The next prime is 249647. The reversal of 249624 is 426942.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

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 249624.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1662 + ... + 1805.

2²⁴⁹⁶²⁴ is an apocalyptic number.

249624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249624 is an abundant number, since it is smaller than the sum of its proper divisors (426636).

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

249624 is a wasteful number, since it uses less digits than its factorization.

249624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3472 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 249624 is about 499.6238585176. The cubic root of 249624 is about 62.9644546274.

The spelling of 249624 in words is "two hundred forty-nine thousand, six hundred twenty-four".