429 has 8 divisors (see below), whose sum is σ = 672. Its totient is φ = 240.

The previous prime is 421. The next prime is 431. The reversal of 429 is 924.

Adding to 429 its sum of digits (15), we get a palindrome (444).

Subtracting from 429 its sum of digits (15), we obtain a palindrome (414).

It can be divided in two parts, 42 and 9, that multiplied together give a triangular number (378 = T_{27}).

It is a sphenic number, since it is the product of 3 distinct primes.

It is the 7-th Catalan number.

429 is an astonishing number since 429 = 4 + ... + 29.

It is not a de Polignac number, because 429 - 2^{3} = 421 is a prime.

It is an Ulam number.

It is a Curzon number.

429 is a lucky number.

It is a plaindrome in base 14 and base 16.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 39.

It is an arithmetic number, because the mean of its divisors is an integer number (84).

It is an amenable number.

429 is a deficient number, since it is larger than the sum of its proper divisors (243).

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

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

The sum of its prime factors is 27.

The product of its digits is 72, while the sum is 15.

The square root of 429 is about 20.7123151772. The cubic root of 429 is about 7.5419867322.

The spelling of 429 in words is "four hundred twenty-nine", and thus it is an aban number.

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