524264 has 24 divisors (see below), whose sum is σ = 1073730. Its totient is φ = 238560.

The previous prime is 524261. The next prime is 524269. The reversal of 524264 is 462425.

It can be written as a sum of positive squares in only one way, i.e., 504100 + 20164 = 710^2 + 142^2 .

It is not an unprimeable number, because it can be changed into a prime (524261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7349 + ... + 7419.

524264 is a Friedman number, since it can be written as (2^4)^5/2-6*4, using all its digits and the basic arithmetic operations.

2⁵²⁴²⁶⁴ 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 524264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536865).

524264 is an abundant number, since it is smaller than the sum of its proper divisors (549466).

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

524264 is a wasteful number, since it uses less digits than its factorization.

524264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 86 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 524264 is about 724.0607709302. The cubic root of 524264 is about 80.6337167828.

Adding to 524264 its reverse (462425), we get a palindrome (986689).

The spelling of 524264 in words is "five hundred twenty-four thousand, two hundred sixty-four".