4564464300 has 432 divisors, whose sum is σ = 16995599712. Its totient is φ = 1011916800.

The previous prime is 4564464299. The next prime is 4564464313. The reversal of 4564464300 is 34644654.

4564464300 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 4 + 643 + 0 + 0 = 666.

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

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, 6226734 + ... + 6227466.

It is an arithmetic number, because the mean of its divisors is an integer number (39341666).

Almost surely, 2^4564464300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4564464300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8497799856).

4564464300 is an abundant number, since it is smaller than the sum of its proper divisors (12431135412).

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

4564464300 is a wasteful number, since it uses less digits than its factorization.

4564464300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4564464300 is about 67560.8192667910. The cubic root of 4564464300 is about 1658.8098475469.

It can be divided in two parts, 4564 and 464300, that added together give a palindrome (468864).

The spelling of 4564464300 in words is "four billion, five hundred sixty-four million, four hundred sixty-four thousand, three hundred".