4645313200 has 120 divisors (see below), whose sum is σ = 12296663856. Its totient is φ = 1672320000.

The previous prime is 4645313191. The next prime is 4645313209. The reversal of 4645313200 is 23135464.

It is an interprime number because it is at equal distance from previous prime (4645313191) and next prime (4645313209).

It is not an unprimeable number, because it can be changed into a prime (4645313209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439174 + ... + 449626.

Almost surely, 2^4645313200 is an apocalyptic number.

4645313200 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 4645313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148331928).

4645313200 is an abundant number, since it is smaller than the sum of its proper divisors (7651350656).

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

4645313200 is a wasteful number, since it uses less digits than its factorization.

4645313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10583 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4645313200 is about 68156.5345363157. The cubic root of 4645313200 is about 1668.5465738832.

Adding to 4645313200 its reverse (23135464), we get a palindrome (4668448664).

The spelling of 4645313200 in words is "four billion, six hundred forty-five million, three hundred thirteen thousand, two hundred".