4620844800 has 1296 divisors, whose sum is σ = 21237078240. Its totient is φ = 973209600.

The previous prime is 4620844799. The next prime is 4620844819. The reversal of 4620844800 is 84480264.

4620844800 is a `hidden beast` number, since 4 + 6 + 208 + 448 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 271814392 + ... + 271814408.

Almost surely, 2^4620844800 is an apocalyptic number.

4620844800 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 4620844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618539120).

4620844800 is an abundant number, since it is smaller than the sum of its proper divisors (16616233440).

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

4620844800 is a wasteful number, since it uses less digits than its factorization.

4620844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4620844800 is about 67976.7960410021. The cubic root of 4620844800 is about 1665.6118196306.

The spelling of 4620844800 in words is "four billion, six hundred twenty million, eight hundred forty-four thousand, eight hundred".