432418032225 has 63 divisors (see below), whose sum is σ = 804094854979. Its totient is φ = 230575604400.

The previous prime is 432418032157. The next prime is 432418032271. The reversal of 432418032225 is 522230814234.

The square root of 432418032225 is 657585.

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

432418032225 is a `hidden beast` number, since 4 + 324 + 1 + 8 + 0 + 322 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155670491601 + 276747540624 = 394551^2 + 526068^2 .

It is not a de Polignac number, because 432418032225 - 2⁷ = 432418032097 is a prime.

It is a super-2 number, since 2×432418032225² (a number of 24 digits) contains 22 as substring.

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 432418032225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 88771540 + ... + 88776410.

Almost surely, 2^432418032225 is an apocalyptic number.

432418032225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

432418032225 is the 657585-th square number.

432418032225 is the 328793-rd centered octagonal number.

It is an amenable number.

432418032225 is a deficient number, since it is larger than the sum of its proper divisors (371676822754).

432418032225 is an frugal number, since it uses more digits than its factorization.

432418032225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9770 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Multiplying 432418032225 by its sum of digits (36), we get a square (15567049160100 = 3945510²).

Adding to 432418032225 its reverse (522230814234), we get a palindrome (954648846459).

The spelling of 432418032225 in words is "four hundred thirty-two billion, four hundred eighteen million, thirty-two thousand, two hundred twenty-five".