432891623025 has 45 divisors (see below), whose sum is σ = 801919774513. Its totient is φ = 230859741600.

The previous prime is 432891622987. The next prime is 432891623033. The reversal of 432891623025 is 520326198234.

The square root of 432891623025 is 657945.

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

432891623025 is a `hidden beast` number, since 4 + 3 + 289 + 1 + 62 + 302 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272174020209 + 160717602816 = 521703^2 + 400896^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 432891623025 - 2²³ = 432883234417 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29600215 + ... + 29614835.

Almost surely, 2^432891623025 is an apocalyptic number.

432891623025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

432891623025 is the 657945-th square number.

432891623025 is the 328973-rd centered octagonal number.

It is an amenable number.

432891623025 is a deficient number, since it is larger than the sum of its proper divisors (369028151488).

432891623025 is an frugal number, since it uses more digits than its factorization.

432891623025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29264 (or 14629 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 432891623025 in words is "four hundred thirty-two billion, eight hundred ninety-one million, six hundred twenty-three thousand, twenty-five".