429954 has 32 divisors (see below), whose sum is σ = 1019520. Its totient is φ = 118272.

The previous prime is 429953. The next prime is 429971. The reversal of 429954 is 459924.

429954 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (429953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (31860).

2⁴²⁹⁹⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509760).

429954 is an abundant number, since it is smaller than the sum of its proper divisors (589566).

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

429954 is a wasteful number, since it uses less digits than its factorization.

429954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its digits is 12960, while the sum is 33.

The square root of 429954 is about 655.7087768209. The cubic root of 429954 is about 75.4757315682.

The spelling of 429954 in words is "four hundred twenty-nine thousand, nine hundred fifty-four".