432265681 has 9 divisors (see below), whose sum is σ = 459564571. Its totient is φ = 406505632.

The previous prime is 432265663. The next prime is 432265699. The reversal of 432265681 is 186562234.

The square root of 432265681 is 20791.

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

It is an interprime number because it is at equal distance from previous prime (432265663) and next prime (432265699).

It can be written as a sum of positive squares in only one way, i.e., 336539025 + 95726656 = 18345^2 + 9784^2 .

It is not a de Polignac number, because 432265681 - 2⁵ = 432265649 is a prime.

It is a super-3 number, since 3×432265681³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 432265681.

It is not an unprimeable number, because it can be changed into a prime (432265601) 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, 352836 + ... + 354058.

Almost surely, 2^432265681 is an apocalyptic number.

432265681 is the 20791-st square number.

432265681 is the 10396-th centered octagonal number.

It is an amenable number.

432265681 is a deficient number, since it is larger than the sum of its proper divisors (27298890).

432265681 is an frugal number, since it uses more digits than its factorization.

432265681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 1240 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The cubic root of 432265681 is about 756.1075690511.

The spelling of 432265681 in words is "four hundred thirty-two million, two hundred sixty-five thousand, six hundred eighty-one".