429116805 has 128 divisors (see below), whose sum is σ = 916876800. Its totient is φ = 188116992.

The previous prime is 429116803. The next prime is 429116827. The reversal of 429116805 is 508611924.

It is not a de Polignac number, because 429116805 - 2¹ = 429116803 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 429116805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429116801) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 566487 + ... + 567243.

It is an arithmetic number, because the mean of its divisors is an integer number (7163100).

Almost surely, 2^429116805 is an apocalyptic number.

429116805 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429116805 is an abundant number, since it is smaller than the sum of its proper divisors (487759995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429116805 is a wasteful number, since it uses less digits than its factorization.

429116805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 429116805 is about 20715.1346845730. The cubic root of 429116805 is about 754.2671162493.

The spelling of 429116805 in words is "four hundred twenty-nine million, one hundred sixteen thousand, eight hundred five".