4568408100 has 135 divisors (see below), whose sum is σ = 14828719521. Its totient is φ = 1216620000.

The previous prime is 4568408083. The next prime is 4568408101. The reversal of 4568408100 is 18048654.

The square root of 4568408100 is 67590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1644626916 + 2923781184 = 40554^2 + 54072^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×4568408100² = 41740705136291220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4568408101) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6082725 + ... + 6083475.

Almost surely, 2^4568408100 is an apocalyptic number.

4568408100 is the 67590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4568408100

4568408100 is an abundant number, since it is smaller than the sum of its proper divisors (10260311421).

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

4568408100 is an equidigital number, since it uses as much as digits as its factorization.

4568408100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 4568408100 is about 1659.2874597121.

Multiplying 4568408100 by its sum of digits (36), we get a square (164462691600 = 405540²).

4568408100 divided by its sum of digits (36) gives a square (126900225 = 11265²).

The spelling of 4568408100 in words is "four billion, five hundred sixty-eight million, four hundred eight thousand, one hundred".