825246396 has 72 divisors (see below), whose sum is σ = 2258159904. Its totient is φ = 252604800.

The previous prime is 825246391. The next prime is 825246427. The reversal of 825246396 is 693642528.

825246396 is a `hidden beast` number, since 8 + 2 + 5 + 2 + 4 + 639 + 6 = 666.

It is a super-2 number, since 2×825246396² = 1362063228221977632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825246391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87721 + ... + 96671.

It is an arithmetic number, because the mean of its divisors is an integer number (31363332).

Almost surely, 2^825246396 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 825246396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129079952).

825246396 is an abundant number, since it is smaller than the sum of its proper divisors (1432913508).

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

825246396 is a wasteful number, since it uses less digits than its factorization.

825246396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9171 (or 9166 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 825246396 is about 28727.1021162943. The cubic root of 825246396 is about 937.9820889071.

The spelling of 825246396 in words is "eight hundred twenty-five million, two hundred forty-six thousand, three hundred ninety-six".