4561207200 has 648 divisors, whose sum is σ = 18450694080. Its totient is φ = 1091750400.

The previous prime is 4561207199. The next prime is 4561207201. The reversal of 4561207200 is 27021654.

4561207200 is a `hidden beast` number, since 45 + 612 + 0 + 7 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4561207199) and next prime (4561207201).

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×4561207200² = 41609222242663680000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4561207201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 57736761 + ... + 57736839.

Almost surely, 2^4561207200 is an apocalyptic number.

4561207200 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 4561207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9225347040).

4561207200 is an abundant number, since it is smaller than the sum of its proper divisors (13889486880).

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

4561207200 is an equidigital number, since it uses as much as digits as its factorization.

4561207200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4561207200 is about 67536.7100175897. The cubic root of 4561207200 is about 1658.4151904129.

Adding to 4561207200 its reverse (27021654), we get a palindrome (4588228854).

The spelling of 4561207200 in words is "four billion, five hundred sixty-one million, two hundred seven thousand, two hundred".