4531200 has 132 divisors (see below), whose sum is σ = 15229680. Its totient is φ = 1187840.

The previous prime is 4531199. The next prime is 4531213. The reversal of 4531200 is 21354.

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 4531200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76771 + ... + 76829.

Almost surely, 2^4531200 is an apocalyptic number.

4531200 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 4531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614840).

4531200 is an abundant number, since it is smaller than the sum of its proper divisors (10698480).

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

4531200 is a wasteful number, since it uses less digits than its factorization.

4531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

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

The square root of 4531200 is about 2128.6615513040. The cubic root of 4531200 is about 165.4770400450.

Adding to 4531200 its reverse (21354), we get a palindrome (4552554).

It can be divided in two parts, 453 and 1200, that added together give a triangular number (1653 = T₅₇).

The spelling of 4531200 in words is "four million, five hundred thirty-one thousand, two hundred".