525480 has 64 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 134400.

The previous prime is 525467. The next prime is 525491. The reversal of 525480 is 84525.

It is a super-2 number, since 2×525480² = 552258460800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 525480.

It is a congruent number.

It is an unprimeable number.

525480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3405 + ... + 3555.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2⁵²⁵⁴⁸⁰ 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 525480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

525480 is an abundant number, since it is smaller than the sum of its proper divisors (1116120).

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

525480 is a wasteful number, since it uses less digits than its factorization.

525480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 525480 is about 724.8999931025. The cubic root of 525480 is about 80.6960103917.

The spelling of 525480 in words is "five hundred twenty-five thousand, four hundred eighty".