525420 has 96 divisors (see below), whose sum is σ = 1881600. Its totient is φ = 119232.

The previous prime is 525409. The next prime is 525431. The reversal of 525420 is 24525.

It is an interprime number because it is at equal distance from previous prime (525409) and next prime (525431).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 525393 and 525402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3711 + ... + 3849.

It is an arithmetic number, because the mean of its divisors is an integer number (19600).

2⁵²⁵⁴²⁰ 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 525420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940800).

525420 is an abundant number, since it is smaller than the sum of its proper divisors (1356180).

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

525420 is a wasteful number, since it uses less digits than its factorization.

525420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 525420 is about 724.8586069021. The cubic root of 525420 is about 80.6929389491.

Adding to 525420 its reverse (24525), we get a palindrome (549945).

It can be divided in two parts, 5 and 25420, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 525420 in words is "five hundred twenty-five thousand, four hundred twenty".