4581200 has 60 divisors (see below), whose sum is σ = 11866428. Its totient is φ = 1689600.

The previous prime is 4581193. The next prime is 4581221. The reversal of 4581200 is 21854.

It can be written as a sum of positive squares in 6 ways, for example, as 1106704 + 3474496 = 1052^2 + 1864^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 4760 + ... + 5640.

Almost surely, 2^4581200 is an apocalyptic number.

4581200 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 4581200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933214).

4581200 is an abundant number, since it is smaller than the sum of its proper divisors (7285228).

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

4581200 is a wasteful number, since it uses less digits than its factorization.

4581200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 4581200 is about 2140.3737991295. The cubic root of 4581200 is about 166.0834728008.

The spelling of 4581200 in words is "four million, five hundred eighty-one thousand, two hundred".