4892800 has 96 divisors (see below), whose sum is σ = 13280400. Its totient is φ = 1766400.

The previous prime is 4892791. The next prime is 4892819. The reversal of 4892800 is 82984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35131 + ... + 35269.

Almost surely, 2^4892800 is an apocalyptic number.

4892800 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 4892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6640200).

4892800 is an abundant number, since it is smaller than the sum of its proper divisors (8387600).

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

4892800 is a wasteful number, since it uses less digits than its factorization.

4892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4892800 is about 2211.9674500318. The cubic root of 4892800 is about 169.7666926438.

The spelling of 4892800 in words is "four million, eight hundred ninety-two thousand, eight hundred".