823946304 has 28 divisors (see below), whose sum is σ = 2180025104. Its totient is φ = 274648704.

The previous prime is 823946297. The next prime is 823946311. The reversal of 823946304 is 403649328.

It is an interprime number because it is at equal distance from previous prime (823946297) and next prime (823946311).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2145502 + ... + 2145885.

Almost surely, 2^823946304 is an apocalyptic number.

It is an amenable number.

823946304 is an abundant number, since it is smaller than the sum of its proper divisors (1356078800).

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

823946304 is a wasteful number, since it uses less digits than its factorization.

823946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291402 (or 4291392 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 823946304 is about 28704.4648791786. The cubic root of 823946304 is about 937.4892648015.

The spelling of 823946304 in words is "eight hundred twenty-three million, nine hundred forty-six thousand, three hundred four".