825460 has 24 divisors (see below), whose sum is σ = 1751400. Its totient is φ = 326784.

The previous prime is 825443. The next prime is 825467. The reversal of 825460 is 64528.

It can be written as a sum of positive squares in 4 ways, for example, as 4624 + 820836 = 68^2 + 906^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2842 + ... + 3118.

It is an arithmetic number, because the mean of its divisors is an integer number (72975).

2⁸²⁵⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

825460 is an abundant number, since it is smaller than the sum of its proper divisors (925940).

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

825460 is a wasteful number, since it uses less digits than its factorization.

825460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 825460 is about 908.5482926075. The cubic root of 825460 is about 93.8063009968.

Adding to 825460 its reverse (64528), we get a palindrome (889988).

The spelling of 825460 in words is "eight hundred twenty-five thousand, four hundred sixty".