4532900 has 18 divisors (see below), whose sum is σ = 9836610. Its totient is φ = 1813120.

The previous prime is 4532893. The next prime is 4532917. The reversal of 4532900 is 92354.

4532900 = T₁₆₇ + T₁₆₈ + ... + T₃₁₆.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 4153444 = 616^2 + 2038^2 .

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, 22565 + ... + 22764.

Almost surely, 2^4532900 is an apocalyptic number.

It is an amenable number.

4532900 is an abundant number, since it is smaller than the sum of its proper divisors (5303710).

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

4532900 is a wasteful number, since it uses less digits than its factorization.

4532900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45343 (or 45336 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 4532900 is about 2129.0608258103. The cubic root of 4532900 is about 165.4977318261.

It can be divided in two parts, 4 and 532900, that multiplied together give a square (2131600 = 1460²).

The spelling of 4532900 in words is "four million, five hundred thirty-two thousand, nine hundred".