992250000 has 525 divisors, whose sum is σ = 4175864517. Its totient is φ = 226800000.

The previous prime is 992249987. The next prime is 992250001. The reversal of 992250000 is 52299.

The square root of 992250000 is 31500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 869306256 + 122943744 = 29484^2 + 11088^2 .

It is a tau number, because it is divible by the number of its divisors (525).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (992250001) 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 104 ways as a sum of consecutive naturals, for example, 141749997 + ... + 141750003.

Almost surely, 2^992250000 is an apocalyptic number.

992250000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

992250000 is the 31500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992250000

992250000 is an abundant number, since it is smaller than the sum of its proper divisors (3183614517).

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

992250000 is an frugal number, since it uses more digits than its factorization.

992250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The cubic root of 992250000 is about 997.4099641726.

The spelling of 992250000 in words is "nine hundred ninety-two million, two hundred fifty thousand".