825415296 has 64 divisors (see below), whose sum is σ = 2198858880. Its totient is φ = 274341888.

The previous prime is 825415289. The next prime is 825415373. The reversal of 825415296 is 692514528.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138000 + ... + 143856.

It is an arithmetic number, because the mean of its divisors is an integer number (34357170).

Almost surely, 2^825415296 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 825415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099429440).

825415296 is an abundant number, since it is smaller than the sum of its proper divisors (1373443584).

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

825415296 is a wasteful number, since it uses less digits than its factorization.

825415296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6229 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 825415296 is about 28730.0416985427. The cubic root of 825415296 is about 938.0460756020.

The spelling of 825415296 in words is "eight hundred twenty-five million, four hundred fifteen thousand, two hundred ninety-six".