4645456200 has 576 divisors, whose sum is σ = 19682133120. Its totient is φ = 961804800.

The previous prime is 4645456177. The next prime is 4645456217. The reversal of 4645456200 is 26545464.

4645456200 is a `hidden beast` number, since 4 + 645 + 4 + 5 + 6 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×4645456200² = 43160526612236880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16770462 + ... + 16770738.

It is an arithmetic number, because the mean of its divisors is an integer number (34170370).

Almost surely, 2^4645456200 is an apocalyptic number.

4645456200 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 4645456200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841066560).

4645456200 is an abundant number, since it is smaller than the sum of its proper divisors (15036676920).

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

4645456200 is a wasteful number, since it uses less digits than its factorization.

4645456200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4645456200 is about 68157.5835839270. The cubic root of 4645456200 is about 1668.5636950618.

The spelling of 4645456200 in words is "four billion, six hundred forty-five million, four hundred fifty-six thousand, two hundred".