431609625 has 48 divisors (see below), whose sum is σ = 799153680. Its totient is φ = 223948800.

The previous prime is 431609611. The next prime is 431609657. The reversal of 431609625 is 526906134.

It is a happy number.

431609625 is a `hidden beast` number, since 43 + 1 + 609 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 159062544 + 272547081 = 12612^2 + 16509^2 .

It is not a de Polignac number, because 431609625 - 2⁵ = 431609593 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 431609625.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 36441 + ... + 46809.

It is an arithmetic number, because the mean of its divisors is an integer number (16649035).

Almost surely, 2^431609625 is an apocalyptic number.

431609625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

431609625 is a deficient number, since it is larger than the sum of its proper divisors (367544055).

431609625 is a wasteful number, since it uses less digits than its factorization.

431609625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 431609625 is about 20775.2166053690. The cubic root of 431609625 is about 755.7248568330.

It can be divided in two parts, 431609 and 625, that added together give a palindrome (432234).

The spelling of 431609625 in words is "four hundred thirty-one million, six hundred nine thousand, six hundred twenty-five".