825853392 has 480 divisors, whose sum is σ = 3119800320. Its totient is φ = 197821440.

The previous prime is 825853363. The next prime is 825853397. The reversal of 825853392 is 293358528.

825853392 is a `hidden beast` number, since 8 + 25 + 8 + 533 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825853397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7718203 + ... + 7718309.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^825853392 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 825853392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559900160).

825853392 is an abundant number, since it is smaller than the sum of its proper divisors (2293946928).

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

825853392 is a wasteful number, since it uses less digits than its factorization.

825853392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 825853392 is about 28737.6650408484. The cubic root of 825853392 is about 938.2120048222.

The spelling of 825853392 in words is "eight hundred twenty-five million, eight hundred fifty-three thousand, three hundred ninety-two".