264520 has 32 divisors (see below), whose sum is σ = 631800. Its totient is φ = 99328.

The previous prime is 264487. The next prime is 264527. The reversal of 264520 is 25462.

It can be written as a sum of positive squares in 4 ways, for example, as 213444 + 51076 = 462^2 + 226^2 .

It is not an unprimeable number, because it can be changed into a prime (264527) by changing a digit.

264520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 486 + ... + 874.

2²⁶⁴⁵²⁰ is an apocalyptic number.

264520 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 264520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315900).

264520 is an abundant number, since it is smaller than the sum of its proper divisors (367280).

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

264520 is a wasteful number, since it uses less digits than its factorization.

264520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 264520 is about 514.3150785268. The cubic root of 264520 is about 64.1927781138.

Adding to 264520 its reverse (25462), we get a palindrome (289982).

It can be divided in two parts, 2645 and 20, that multiplied together give a square (52900 = 230²).

The spelling of 264520 in words is "two hundred sixty-four thousand, five hundred twenty".