249264 has 40 divisors (see below), whose sum is σ = 716720. Its totient is φ = 82944.

The previous prime is 249257. The next prime is 249287. The reversal of 249264 is 462942.

249264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144 + ... + 720.

It is an arithmetic number, because the mean of its divisors is an integer number (17918).

2²⁴⁹²⁶⁴ is an apocalyptic number.

249264 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 249264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358360).

249264 is an abundant number, since it is smaller than the sum of its proper divisors (467456).

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

249264 is a wasteful number, since it uses less digits than its factorization.

249264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

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

The square root of 249264 is about 499.2634575052. The cubic root of 249264 is about 62.9341716030.

It can be divided in two parts, 2492 and 64, that added together give a triangular number (2556 = T₇₁).

The spelling of 249264 in words is "two hundred forty-nine thousand, two hundred sixty-four".