4645852200 has 720 divisors, whose sum is σ = 18818616960. Its totient is φ = 1052352000.

The previous prime is 4645852187. The next prime is 4645852219. The reversal of 4645852200 is 22585464.

It is a happy number.

4645852200 is a `hidden beast` number, since 4 + 645 + 8 + 5 + 2 + 2 + 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 179 ways as a sum of consecutive naturals, for example, 149866185 + ... + 149866215.

It is an arithmetic number, because the mean of its divisors is an integer number (26136968).

Almost surely, 2^4645852200 is an apocalyptic number.

4645852200 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 4645852200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9409308480).

4645852200 is an abundant number, since it is smaller than the sum of its proper divisors (14172764760).

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

4645852200 is a wasteful number, since it uses less digits than its factorization.

4645852200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4645852200 is about 68160.4885545871. The cubic root of 4645852200 is about 1668.6111057230.

The spelling of 4645852200 in words is "four billion, six hundred forty-five million, eight hundred fifty-two thousand, two hundred".