264500 has 36 divisors (see below), whose sum is σ = 603876. Its totient is φ = 101200.

The previous prime is 264487. The next prime is 264527. The reversal of 264500 is 5462.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 256036 = 92^2 + 506^2 .

It is a congruent number.

It is an unprimeable number.

264500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11489 + ... + 11511.

2²⁶⁴⁵⁰⁰ is an apocalyptic number.

264500 is a gapful number since it is divisible by the number (20) 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 264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301938).

264500 is an abundant number, since it is smaller than the sum of its proper divisors (339376).

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

264500 is a wasteful number, since it uses less digits than its factorization.

264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 264500 is about 514.2956348250. The cubic root of 264500 is about 64.1911602300.

Adding to 264500 its reverse (5462), we get a palindrome (269962).

The spelling of 264500 in words is "two hundred sixty-four thousand, five hundred".