825484608 has 196 divisors, whose sum is σ = 2646848148. Its totient is φ = 253808640.

The previous prime is 825484567. The next prime is 825484613. The reversal of 825484608 is 806484528.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 694427904 = 11448^2 + 26352^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its 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 27 ways as a sum of consecutive naturals, for example, 605848 + ... + 607208.

Almost surely, 2^825484608 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 825484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323424074).

825484608 is an abundant number, since it is smaller than the sum of its proper divisors (1821363540).

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

825484608 is a wasteful number, since it uses less digits than its factorization.

825484608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 825484608 is about 28731.2479366978. The cubic root of 825484608 is about 938.0723314880.

The spelling of 825484608 in words is "eight hundred twenty-five million, four hundred eighty-four thousand, six hundred eight".