825290440 has 64 divisors (see below), whose sum is σ = 2004004800. Its totient is φ = 304073472.

The previous prime is 825290371. The next prime is 825290447. The reversal of 825290440 is 44092528.

It is a super-2 number, since 2×825290440² = 1362208620710787200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 825290396 and 825290405.

It is not an unprimeable number, because it can be changed into a prime (825290447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291351 + ... + 294169.

It is an arithmetic number, because the mean of its divisors is an integer number (31312575).

Almost surely, 2^825290440 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 825290440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002002400).

825290440 is an abundant number, since it is smaller than the sum of its proper divisors (1178714360).

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

825290440 is a wasteful number, since it uses less digits than its factorization.

825290440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 825290440 is about 28727.8686992265. The cubic root of 825290440 is about 937.9987755389.

The spelling of 825290440 in words is "eight hundred twenty-five million, two hundred ninety thousand, four hundred forty".