4650145200 has 420 divisors, whose sum is σ = 17242923168. Its totient is φ = 1203724800.

The previous prime is 4650145189. The next prime is 4650145231. The reversal of 4650145200 is 25410564.

4650145200 is a `hidden beast` number, since 4 + 650 + 1 + 4 + 5 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10788985 + ... + 10789415.

Almost surely, 2^4650145200 is an apocalyptic number.

4650145200 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 4650145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621461584).

4650145200 is an abundant number, since it is smaller than the sum of its proper divisors (12592777968).

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

4650145200 is a wasteful number, since it uses less digits than its factorization.

4650145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4650145200 is about 68191.9731346733. The cubic root of 4650145200 is about 1669.1249075595.

Adding to 4650145200 its reverse (25410564), we get a palindrome (4675555764).

The spelling of 4650145200 in words is "four billion, six hundred fifty million, one hundred forty-five thousand, two hundred".