240264 has 48 divisors (see below), whose sum is σ = 673920. Its totient is φ = 77280.

The previous prime is 240263. The next prime is 240271. The reversal of 240264 is 462042.

It is a Harshad number since it is a multiple of its sum of digits (18).

240264 is a modest number, since divided by 264 gives 24 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3349 + ... + 3419.

It is an arithmetic number, because the mean of its divisors is an integer number (14040).

2²⁴⁰²⁶⁴ is an apocalyptic number.

240264 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 240264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336960).

240264 is an abundant number, since it is smaller than the sum of its proper divisors (433656).

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

240264 is a wasteful number, since it uses less digits than its factorization.

240264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240264 is about 490.1673183720. The cubic root of 240264 is about 62.1674281409.

The spelling of 240264 in words is "two hundred forty thousand, two hundred sixty-four".