4992200 has 48 divisors (see below), whose sum is σ = 11764500. Its totient is φ = 1969920.

The previous prime is 4992187. The next prime is 4992233. The reversal of 4992200 is 22994.

It can be written as a sum of positive squares in 6 ways, for example, as 3556996 + 1435204 = 1886^2 + 1198^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4992200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21686 + ... + 21914.

Almost surely, 2^4992200 is an apocalyptic number.

4992200 is a gapful number since it is divisible by the number (40) 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 4992200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882250).

4992200 is an abundant number, since it is smaller than the sum of its proper divisors (6772300).

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

4992200 is a wasteful number, since it uses less digits than its factorization.

4992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 4992200 is about 2234.3231637344. The cubic root of 4992200 is about 170.9086296406.

The spelling of 4992200 in words is "four million, nine hundred ninety-two thousand, two hundred".