429314967 has 24 divisors (see below), whose sum is σ = 648071424. Its totient is φ = 273594384.

The previous prime is 429314947. The next prime is 429314969. The reversal of 429314967 is 769413924.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-429314967 is a prime.

It is a super-2 number, since 2×429314967² = 368622681780422178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429314969) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6388 + ... + 29990.

It is an arithmetic number, because the mean of its divisors is an integer number (27002976).

Almost surely, 2^429314967 is an apocalyptic number.

429314967 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

429314967 is a deficient number, since it is larger than the sum of its proper divisors (218756457).

429314967 is a wasteful number, since it uses less digits than its factorization.

429314967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23699 (or 23696 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 429314967 is about 20719.9171571703. The cubic root of 429314967 is about 754.3832028074.

The spelling of 429314967 in words is "four hundred twenty-nine million, three hundred fourteen thousand, nine hundred sixty-seven".