432580673 has 24 divisors (see below), whose sum is σ = 512117640. Its totient is φ = 364277760.

The previous prime is 432580667. The next prime is 432580693. The reversal of 432580673 is 376085234.

It can be written as a sum of positive squares in 4 ways, for example, as 30658369 + 401922304 = 5537^2 + 20048^2 .

It is not a de Polignac number, because 432580673 - 2²⁴ = 415803457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432580663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1225265 + ... + 1225617.

It is an arithmetic number, because the mean of its divisors is an integer number (21338235).

Almost surely, 2^432580673 is an apocalyptic number.

It is an amenable number.

432580673 is a deficient number, since it is larger than the sum of its proper divisors (79536967).

432580673 is a wasteful number, since it uses less digits than its factorization.

432580673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The square root of 432580673 is about 20798.5738212984. The cubic root of 432580673 is about 756.2911829860.

The spelling of 432580673 in words is "four hundred thirty-two million, five hundred eighty thousand, six hundred seventy-three".