432730656 has 72 divisors (see below), whose sum is σ = 1240372224. Its totient is φ = 143095680.

The previous prime is 432730633. The next prime is 432730657. The reversal of 432730656 is 656037234.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 432730656.

It is not an unprimeable number, because it can be changed into a prime (432730657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30661 + ... + 42491.

It is an arithmetic number, because the mean of its divisors is an integer number (17227392).

Almost surely, 2^432730656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432730656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620186112).

432730656 is an abundant number, since it is smaller than the sum of its proper divisors (807641568).

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

432730656 is a wasteful number, since it uses less digits than its factorization.

432730656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11974 (or 11963 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 432730656 is about 20802.1791166214. The cubic root of 432730656 is about 756.3785791802.

The spelling of 432730656 in words is "four hundred thirty-two million, seven hundred thirty thousand, six hundred fifty-six".