825069440 has 128 divisors (see below), whose sum is σ = 2143199520. Its totient is φ = 301916160.

The previous prime is 825069439. The next prime is 825069457. The reversal of 825069440 is 44960528.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 825069394 and 825069403.

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 15 ways as a sum of consecutive naturals, for example, 1089542 + ... + 1090298.

Almost surely, 2^825069440 is an apocalyptic number.

825069440 is a gapful number since it is divisible by the number (80) 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 825069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071599760).

825069440 is an abundant number, since it is smaller than the sum of its proper divisors (1318130080).

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

825069440 is a wasteful number, since it uses less digits than its factorization.

825069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 825069440 is about 28724.0220024982. The cubic root of 825069440 is about 937.9150408819.

The spelling of 825069440 in words is "eight hundred twenty-five million, sixty-nine thousand, four hundred forty".