264924 has 48 divisors (see below), whose sum is σ = 752640. Its totient is φ = 79920.

The previous prime is 264919. The next prime is 264931. The reversal of 264924 is 429462.

264924 = T₈₇ + T₈₈ + ... + T₁₃₀.

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 15 ways as a sum of consecutive naturals, for example, 1077 + ... + 1299.

It is an arithmetic number, because the mean of its divisors is an integer number (15680).

2²⁶⁴⁹²⁴ 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 264924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376320).

264924 is an abundant number, since it is smaller than the sum of its proper divisors (487716).

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

264924 is a wasteful number, since it uses less digits than its factorization.

264924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

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

The square root of 264924 is about 514.7076840305. The cubic root of 264924 is about 64.2254419208.

It can be divided in two parts, 26 and 4924, that added together give a triangular number (4950 = T₉₉).

The spelling of 264924 in words is "two hundred sixty-four thousand, nine hundred twenty-four".