825536448 has 280 divisors, whose sum is σ = 2761634304. Its totient is φ = 241574400.

The previous prime is 825536443. The next prime is 825536497. The reversal of 825536448 is 844635528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825536441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1767511 + ... + 1767977.

Almost surely, 2^825536448 is an apocalyptic number.

825536448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380817152).

825536448 is an abundant number, since it is smaller than the sum of its proper divisors (1936097856).

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

825536448 is a wasteful number, since it uses less digits than its factorization.

825536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 825536448 is about 28732.1500761777. The cubic root of 825536448 is about 938.0919678936.

The spelling of 825536448 in words is "eight hundred twenty-five million, five hundred thirty-six thousand, four hundred forty-eight".