429749735809 has 9 divisors (see below), whose sum is σ = 431530331817. Its totient is φ = 427976464944.

The previous prime is 429749735801. The next prime is 429749735837. The reversal of 429749735809 is 908537947924.

The square root of 429749735809 is 655553.

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

It can be written as a sum of positive squares in 4 ways, for example, as 106193025 + 429643542784 = 10305^2 + 655472^2 .

It is not a de Polignac number, because 429749735809 - 2³ = 429749735801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (429749735801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 176342539 + ... + 176344975.

Almost surely, 2^429749735809 is an apocalyptic number.

429749735809 is the 655553-rd square number.

429749735809 is the 327777-th centered octagonal number.

It is an amenable number.

429749735809 is a deficient number, since it is larger than the sum of its proper divisors (1780596008).

429749735809 is an frugal number, since it uses more digits than its factorization.

429749735809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 67.

The spelling of 429749735809 in words is "four hundred twenty-nine billion, seven hundred forty-nine million, seven hundred thirty-five thousand, eight hundred nine".