825825400 has 48 divisors (see below), whose sum is σ = 1924095600. Its totient is φ = 329633280.

The previous prime is 825825331. The next prime is 825825433. The reversal of 825825400 is 4528528.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 96496 + ... + 104704.

It is an arithmetic number, because the mean of its divisors is an integer number (40085325).

Almost surely, 2^825825400 is an apocalyptic number.

It is an amenable number.

825825400 is an abundant number, since it is smaller than the sum of its proper divisors (1098270200).

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

825825400 is a wasteful number, since it uses less digits than its factorization.

825825400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8728 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 825825400 is about 28737.1780103753. The cubic root of 825825400 is about 938.2014045843.

The spelling of 825825400 in words is "eight hundred twenty-five million, eight hundred twenty-five thousand, four hundred".