527424 has 56 divisors (see below), whose sum is σ = 1450848. Its totient is φ = 168960.

The previous prime is 527419. The next prime is 527441. The reversal of 527424 is 424725.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁷ + 4 + 7 + 2¹⁷ + 4⁹ .

It is a junction number, because it is equal to n+sod(n) for n = 527394 and 527403.

It is a congruent number.

It is an unprimeable number.

527424 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 7 ways as a sum of consecutive naturals, for example, 7839 + ... + 7905.

It is an arithmetic number, because the mean of its divisors is an integer number (25908).

2⁵²⁷⁴²⁴ 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 527424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725424).

527424 is an abundant number, since it is smaller than the sum of its proper divisors (923424).

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

527424 is a wasteful number, since it uses less digits than its factorization.

527424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its digits is 2240, while the sum is 24.

The square root of 527424 is about 726.2396298743. The cubic root of 527424 is about 80.7953988819.

The spelling of 527424 in words is "five hundred twenty-seven thousand, four hundred twenty-four".