249504 has 48 divisors (see below), whose sum is σ = 689472. Its totient is φ = 78848.

The previous prime is 249503. The next prime is 249517. The reversal of 249504 is 405942.

249504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (249503) 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, 2152 + ... + 2264.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2²⁴⁹⁵⁰⁴ is an apocalyptic number.

249504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

249504 is an abundant number, since it is smaller than the sum of its proper divisors (439968).

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

249504 is a wasteful number, since it uses less digits than its factorization.

249504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 249504 is about 499.5037537396. The cubic root of 249504 is about 62.9543635229.

The spelling of 249504 in words is "two hundred forty-nine thousand, five hundred four".