4992800 has 54 divisors (see below), whose sum is σ = 12344913. Its totient is φ = 1971840.

The previous prime is 4992787. The next prime is 4992809. The reversal of 4992800 is 82994.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4892944 + 99856 = 2212^2 + 316^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1580.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4992809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63161 + ... + 63239.

Almost surely, 2^4992800 is an apocalyptic number.

4992800 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 4992800

4992800 is an abundant number, since it is smaller than the sum of its proper divisors (7352113).

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

4992800 is an equidigital number, since it uses as much as digits as its factorization.

4992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 4992800 is about 2234.4574285495. The cubic root of 4992800 is about 170.9154763928.

Multiplying 4992800 by its sum of digits (32), we get a square (159769600 = 12640²).

4992800 divided by its sum of digits (32) gives a square (156025 = 395²).

The spelling of 4992800 in words is "four million, nine hundred ninety-two thousand, eight hundred".