992275200 has 648 divisors, whose sum is σ = 4270226688. Its totient is φ = 214917120.

The previous prime is 992275147. The next prime is 992275237. The reversal of 992275200 is 2572299.

It is a super-2 number, since 2×992275200² = 1969220145070080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9273547 + ... + 9273653.

It is an arithmetic number, because the mean of its divisors is an integer number (6589856).

Almost surely, 2^992275200 is an apocalyptic number.

992275200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135113344).

992275200 is an abundant number, since it is smaller than the sum of its proper divisors (3277951488).

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

992275200 is a wasteful number, since it uses less digits than its factorization.

992275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 992275200 is about 31500.3999974603. The cubic root of 992275200 is about 997.4184077834.

The spelling of 992275200 in words is "nine hundred ninety-two million, two hundred seventy-five thousand, two hundred".