4513200 has 60 divisors (see below), whose sum is σ = 14461128. Its totient is φ = 1203200.

The previous prime is 4513189. The next prime is 4513213. The reversal of 4513200 is 23154.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4513200.

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 11 ways as a sum of consecutive naturals, for example, 681 + ... + 3080.

Almost surely, 2^4513200 is an apocalyptic number.

4513200 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 4513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230564).

4513200 is an abundant number, since it is smaller than the sum of its proper divisors (9947928).

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

4513200 is a wasteful number, since it uses less digits than its factorization.

4513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4513200 is about 2124.4293351392. The cubic root of 4513200 is about 165.2576324156.

Adding to 4513200 its reverse (23154), we get a palindrome (4536354).

The spelling of 4513200 in words is "four million, five hundred thirteen thousand, two hundred".