527460 has 48 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 137344.

The previous prime is 527453. The next prime is 527489. The reversal of 527460 is 64725.

It is a happy number.

It is a d-powerful number, because it can be written as 5⁵ + 2¹⁹ + 4 + 7 + 6² + 0 .

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 527460.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527460.

It is an unprimeable number.

527460 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 15 ways as a sum of consecutive naturals, for example, 3466 + ... + 3614.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2⁵²⁷⁴⁶⁰ 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 527460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

527460 is an abundant number, since it is smaller than the sum of its proper divisors (984540).

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

527460 is a wasteful number, since it uses less digits than its factorization.

527460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 527460 is about 726.2644146590. The cubic root of 527460 is about 80.7972371045.

The spelling of 527460 in words is "five hundred twenty-seven thousand, four hundred sixty".