429216 has 48 divisors (see below), whose sum is σ = 1197504. Its totient is φ = 134144.

The previous prime is 429211. The next prime is 429217. The reversal of 429216 is 612924.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429211) by changing a digit.

429216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1501 + ... + 1763.

It is an arithmetic number, because the mean of its divisors is an integer number (24948).

2⁴²⁹²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598752).

429216 is an abundant number, since it is smaller than the sum of its proper divisors (768288).

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

429216 is a wasteful number, since it uses less digits than its factorization.

429216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 285 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 429216 is about 655.1457853028. The cubic root of 429216 is about 75.4325230778.

The spelling of 429216 in words is "four hundred twenty-nine thousand, two hundred sixteen".