4492972800 has 486 divisors, whose sum is σ = 16836258348. Its totient is φ = 1186928640.

The previous prime is 4492972747. The next prime is 4492972811. The reversal of 4492972800 is 82792944.

It is a tau number, because it is divible by the number of its divisors (486).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 53 ways as a sum of consecutive naturals, for example, 41990347 + ... + 41990453.

Almost surely, 2^4492972800 is an apocalyptic number.

4492972800 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 4492972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418129174).

4492972800 is an abundant number, since it is smaller than the sum of its proper divisors (12343285548).

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

4492972800 is an frugal number, since it uses more digits than its factorization.

4492972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4492972800 is about 67029.6412044701. The cubic root of 4492972800 is about 1650.1037951234.

The spelling of 4492972800 in words is "four billion, four hundred ninety-two million, nine hundred seventy-two thousand, eight hundred".