524484 has 36 divisors (see below), whose sum is σ = 1405404. Its totient is φ = 164352.

The previous prime is 524453. The next prime is 524497. The reversal of 524484 is 484425.

It can be written as a sum of positive squares in 2 ways, for example, as 451584 + 72900 = 672^2 + 270^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

524484 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, 184 + ... + 1040.

It is an arithmetic number, because the mean of its divisors is an integer number (39039).

2⁵²⁴⁴⁸⁴ 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 524484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702702).

524484 is an abundant number, since it is smaller than the sum of its proper divisors (880920).

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

524484 is a wasteful number, since it uses less digits than its factorization.

524484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 879 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 524484 is about 724.2126759454. The cubic root of 524484 is about 80.6449941399.

The spelling of 524484 in words is "five hundred twenty-four thousand, four hundred eighty-four".