432416717056 has 81 divisors (see below), whose sum is σ = 876687338289. Its totient is φ = 212867831808.

The previous prime is 432416717027. The next prime is 432416717059. The reversal of 432416717056 is 650717614234.

The square root of 432416717056 is 657584.

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

It can be written as a sum of positive squares in only one way, i.e., 245460793600 + 186955923456 = 495440^2 + 432384^2 .

It is a super-2 number, since 2×432416717056² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432416716997 and 432416717015.

It is not an unprimeable number, because it can be changed into a prime (432416717059) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 768057831 + ... + 768058393.

Almost surely, 2^432416717056 is an apocalyptic number.

432416717056 is the 657584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432416717056

432416717056 is an abundant number, since it is smaller than the sum of its proper divisors (444270621233).

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

432416717056 is an frugal number, since it uses more digits than its factorization.

432416717056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 432416717056 in words is "four hundred thirty-two billion, four hundred sixteen million, seven hundred seventeen thousand, fifty-six".