524864 has 28 divisors (see below), whose sum is σ = 1066800. Its totient is φ = 256128.

The previous prime is 524863. The next prime is 524869. The reversal of 524864 is 468425.

524864 is nontrivially palindromic in base 7.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (524863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3707 + ... + 3845.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

524864 is a Friedman number, since it can be written as (8^5+6^2)*4*4, using all its digits and the basic arithmetic operations.

2⁵²⁴⁸⁶⁴ 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 524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533400).

524864 is an abundant number, since it is smaller than the sum of its proper divisors (541936).

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

524864 is a wasteful number, since it uses less digits than its factorization.

524864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 524864 is about 724.4749823148. The cubic root of 524864 is about 80.6644657855.

The spelling of 524864 in words is "five hundred twenty-four thousand, eight hundred sixty-four".