825260424 has 128 divisors (see below), whose sum is σ = 2300313600. Its totient is φ = 245710080.

The previous prime is 825260419. The next prime is 825260479. The reversal of 825260424 is 424062528.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495417 + ... + 497079.

It is an arithmetic number, because the mean of its divisors is an integer number (17971200).

Almost surely, 2^825260424 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 825260424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150156800).

825260424 is an abundant number, since it is smaller than the sum of its proper divisors (1475053176).

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

825260424 is a wasteful number, since it uses less digits than its factorization.

825260424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 825260424 is about 28727.3462749346. The cubic root of 825260424 is about 937.9874036585.

The spelling of 825260424 in words is "eight hundred twenty-five million, two hundred sixty thousand, four hundred twenty-four".