825408 has 42 divisors (see below), whose sum is σ = 2367534. Its totient is φ = 274944.

The previous prime is 825403. The next prime is 825413. The reversal of 825408 is 804528.

It is an interprime number because it is at equal distance from previous prime (825403) and next prime (825413).

It can be written as a sum of positive squares in only one way, i.e., 788544 + 36864 = 888^2 + 192^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (825403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 141 + ... + 1292.

2⁸²⁵⁴⁰⁸ 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 825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183767).

825408 is an abundant number, since it is smaller than the sum of its proper divisors (1542126).

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

825408 is a wasteful number, since it uses less digits than its factorization.

825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 825408 is about 908.5196750759. The cubic root of 825408 is about 93.8043311739.

The spelling of 825408 in words is "eight hundred twenty-five thousand, four hundred eight".