825400224 has 72 divisors (see below), whose sum is σ = 2560626432. Its totient is φ = 250120320.

The previous prime is 825400193. The next prime is 825400243. The reversal of 825400224 is 422004528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 127104 + ... + 133439.

It is an arithmetic number, because the mean of its divisors is an integer number (35564256).

Almost surely, 2^825400224 is an apocalyptic number.

It is an amenable number.

825400224 is an abundant number, since it is smaller than the sum of its proper divisors (1735226208).

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

825400224 is a wasteful number, since it uses less digits than its factorization.

825400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260570 (or 260559 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 825400224 is about 28729.7793935143. The cubic root of 825400224 is about 938.0403660250.

The spelling of 825400224 in words is "eight hundred twenty-five million, four hundred thousand, two hundred twenty-four".