429990561 has 72 divisors (see below), whose sum is σ = 840432320. Its totient is φ = 206141760.

The previous prime is 429990557. The next prime is 429990563. The reversal of 429990561 is 165099924.

It is not a de Polignac number, because 429990561 - 2² = 429990557 is a prime.

It is not an unprimeable number, because it can be changed into a prime (429990563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96930 + ... + 101268.

Almost surely, 2^429990561 is an apocalyptic number.

It is an amenable number.

429990561 is a deficient number, since it is larger than the sum of its proper divisors (410441759).

429990561 is a wasteful number, since it uses less digits than its factorization.

429990561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 429990561 is about 20736.2137575788. The cubic root of 429990561 is about 754.7787085912.

The spelling of 429990561 in words is "four hundred twenty-nine million, nine hundred ninety thousand, five hundred sixty-one".