825456 has 40 divisors (see below), whose sum is σ = 2209680. Its totient is φ = 265216.

The previous prime is 825443. The next prime is 825467. The reversal of 825456 is 654528.

It is a d-powerful number, because it can be written as 8⁵ + 2¹⁹ + 4⁹ + 5⁵ + 5⁵ + 6 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

825456 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, 1096 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (55242).

2⁸²⁵⁴⁵⁶ 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 825456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104840).

825456 is an abundant number, since it is smaller than the sum of its proper divisors (1384224).

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

825456 is a wasteful number, since it uses less digits than its factorization.

825456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 825456 is about 908.5460912909. The cubic root of 825456 is about 93.8061494749.

The spelling of 825456 in words is "eight hundred twenty-five thousand, four hundred fifty-six".