429406605 has 12 divisors (see below), whose sum is σ = 744304860. Its totient is φ = 229016832.

The previous prime is 429406591. The next prime is 429406609. The reversal of 429406605 is 506604924.

429406605 is a `hidden beast` number, since 4 + 2 + 9 + 40 + 6 + 605 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187635204 + 241771401 = 13698^2 + 15549^2 .

It is not a de Polignac number, because 429406605 - 2⁹ = 429406093 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 429406605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429406609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4771140 + ... + 4771229.

It is an arithmetic number, because the mean of its divisors is an integer number (62025405).

Almost surely, 2^429406605 is an apocalyptic number.

429406605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429406605 is a deficient number, since it is larger than the sum of its proper divisors (314898255).

429406605 is a wasteful number, since it uses less digits than its factorization.

429406605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542380 (or 9542377 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 429406605 is about 20722.1283897190. The cubic root of 429406605 is about 754.4368737756.

The spelling of 429406605 in words is "four hundred twenty-nine million, four hundred six thousand, six hundred five".