8492822400 has 96 divisors (see below), whose sum is σ = 27973265400. Its totient is φ = 2264750080.

The previous prime is 8492822383. The next prime is 8492822441. The reversal of 8492822400 is 42282948.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 432735 + ... + 451934.

Almost surely, 2^8492822400 is an apocalyptic number.

8492822400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8492822400 is an abundant number, since it is smaller than the sum of its proper divisors (19480443000).

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

8492822400 is a wasteful number, since it uses less digits than its factorization.

8492822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884696 (or 884679 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 8492822400 is about 92156.5103505987. The cubic root of 8492822400 is about 2040.2529482578.

The spelling of 8492822400 in words is "eight billion, four hundred ninety-two million, eight hundred twenty-two thousand, four hundred".