432102449025 has 81 divisors (see below), whose sum is σ = 838305841737. Its totient is φ = 212664254400.

The previous prime is 432102448997. The next prime is 432102449039. The reversal of 432102449025 is 520944201234.

It is a happy number.

The square root of 432102449025 is 657345.

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

432102449025 is a `hidden beast` number, since 4 + 321 + 0 + 244 + 90 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111375045441 + 320727403584 = 333729^2 + 566328^2 .

It is not a de Polignac number, because 432102449025 - 2²⁷ = 431968231297 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 128180590 + ... + 128183960.

Almost surely, 2^432102449025 is an apocalyptic number.

432102449025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

432102449025 is the 657345-th square number.

432102449025 is the 328673-rd centered octagonal number.

It is an amenable number.

432102449025 is a deficient number, since it is larger than the sum of its proper divisors (406203392712).

432102449025 is an equidigital number, since it uses as much as digits as its factorization.

432102449025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 432102449025 by its sum of digits (36), we get a square (15555688164900 = 3944070²).

The spelling of 432102449025 in words is "four hundred thirty-two billion, one hundred two million, four hundred forty-nine thousand, twenty-five".