4535200 has 36 divisors (see below), whose sum is σ = 11073510. Its totient is φ = 1813760.

The previous prime is 4535197. The next prime is 4535213. The reversal of 4535200 is 25354.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2782224 + 1752976 = 1668^2 + 1324^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2035 + ... + 3634.

Almost surely, 2^4535200 is an apocalyptic number.

4535200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4535200 is an abundant number, since it is smaller than the sum of its proper divisors (6538310).

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

4535200 is a wasteful number, since it uses less digits than its factorization.

4535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 4535200 is about 2129.6009015776. The cubic root of 4535200 is about 165.5257183558.

It can be divided in two parts, 45 and 35200, that added together give a triangular number (35245 = T₂₆₅).

The spelling of 4535200 in words is "four million, five hundred thirty-five thousand, two hundred".