431600625 has 45 divisors (see below), whose sum is σ = 781852071. Its totient is φ = 229356000.

The previous prime is 431600623. The next prime is 431600629. The reversal of 431600625 is 526006134.

The square root of 431600625 is 20775.

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

431600625 is a `hidden beast` number, since 4 + 31 + 6 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 422672481 + 8928144 = 20559^2 + 2988^2 .

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

It is not a de Polignac number, because 431600625 - 2¹ = 431600623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431600623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1557987 + ... + 1558263.

Almost surely, 2^431600625 is an apocalyptic number.

431600625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

431600625 is the 20775-th square number.

431600625 is the 10388-th centered octagonal number.

It is an amenable number.

431600625 is a deficient number, since it is larger than the sum of its proper divisors (350251446).

431600625 is an frugal number, since it uses more digits than its factorization.

431600625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The cubic root of 431600625 is about 755.7196039605.

Adding to 431600625 its reverse (526006134), we get a palindrome (957606759).

The spelling of 431600625 in words is "four hundred thirty-one million, six hundred thousand, six hundred twenty-five".