825299748 has 432 divisors, whose sum is σ = 2901815280. Its totient is φ = 195084288.

The previous prime is 825299723. The next prime is 825299779. The reversal of 825299748 is 847992528.

It can be written as a sum of positive squares in 8 ways, for example, as 1764 + 825297984 = 42^2 + 28728^2 .

It is a super-2 number, since 2×825299748² = 1362239348097727008, which contains 22 as substring.

Its product of digits (2903040) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 825299694 and 825299703.

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 143 ways as a sum of consecutive naturals, for example, 11305440 + ... + 11305512.

It is an arithmetic number, because the mean of its divisors is an integer number (6717165).

Almost surely, 2^825299748 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 825299748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450907640).

825299748 is an abundant number, since it is smaller than the sum of its proper divisors (2076515532).

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

825299748 is a wasteful number, since it uses less digits than its factorization.

825299748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 825299748 is about 28728.0307017380. The cubic root of 825299748 is about 938.0023019176.

The spelling of 825299748 in words is "eight hundred twenty-five million, two hundred ninety-nine thousand, seven hundred forty-eight".