812964352 has 80 divisors (see below), whose sum is σ = 1669536000. Its totient is φ = 395366400.

The previous prime is 812964349. The next prime is 812964353. The reversal of 812964352 is 253469218.

It is a super-2 number, since 2×812964352² = 1321822075245559808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (812964353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4085149 + ... + 4085347.

It is an arithmetic number, because the mean of its divisors is an integer number (20869200).

Almost surely, 2^812964352 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 812964352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834768000).

812964352 is an abundant number, since it is smaller than the sum of its proper divisors (856571648).

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

812964352 is a wasteful number, since it uses less digits than its factorization.

812964352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The square root of 812964352 is about 28512.5297369420. The cubic root of 812964352 is about 933.3055193525.

The spelling of 812964352 in words is "eight hundred twelve million, nine hundred sixty-four thousand, three hundred fifty-two".