433680625 has 75 divisors (see below), whose sum is σ = 671587367. Its totient is φ = 279888000.

The previous prime is 433680623. The next prime is 433680631. The reversal of 433680625 is 526086334.

The square root of 433680625 is 20825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 211789809 + 221890816 = 14553^2 + 14896^2 .

It is not a de Polignac number, because 433680625 - 2¹ = 433680623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (433680623) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 25510617 + ... + 25510633.

Almost surely, 2^433680625 is an apocalyptic number.

433680625 is the 20825-th square number.

433680625 is the 10413-rd centered octagonal number.

It is an amenable number.

433680625 is a deficient number, since it is larger than the sum of its proper divisors (237906742).

433680625 is an frugal number, since it uses more digits than its factorization.

433680625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The cubic root of 433680625 is about 756.9316645961.

The spelling of 433680625 in words is "four hundred thirty-three million, six hundred eighty thousand, six hundred twenty-five".