825823400 has 48 divisors (see below), whose sum is σ = 1925442240. Its totient is φ = 329400000.

The previous prime is 825823367. The next prime is 825823423. The reversal of 825823400 is 4328528.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67775 + ... + 79025.

It is an arithmetic number, because the mean of its divisors is an integer number (40113380).

Almost surely, 2^825823400 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 825823400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962721120).

825823400 is an abundant number, since it is smaller than the sum of its proper divisors (1099618840).

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

825823400 is a wasteful number, since it uses less digits than its factorization.

825823400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11634 (or 11625 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 825823400 is about 28737.1432122262. The cubic root of 825823400 is about 938.2006471989.

The spelling of 825823400 in words is "eight hundred twenty-five million, eight hundred twenty-three thousand, four hundred".