825446320 has 40 divisors (see below), whose sum is σ = 1971039024. Its totient is φ = 321253632.

The previous prime is 825446309. The next prime is 825446353. The reversal of 825446320 is 23644528.

825446320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136474 + ... + 142393.

Almost surely, 2^825446320 is an apocalyptic number.

825446320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

825446320 is an abundant number, since it is smaller than the sum of its proper divisors (1145592704).

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

825446320 is a wasteful number, since it uses less digits than its factorization.

825446320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278917 (or 278911 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 825446320 is about 28730.5816161107. The cubic root of 825446320 is about 938.0578278989.

The spelling of 825446320 in words is "eight hundred twenty-five million, four hundred forty-six thousand, three hundred twenty".