429224 has 8 divisors (see below), whose sum is σ = 804810. Its totient is φ = 214608.

The previous prime is 429223. The next prime is 429227. The reversal of 429224 is 422924.

429224 = T₁₇₇ + T₁₇₈ + ... + T₂₀₀.

429224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 422500 + 6724 = 650^2 + 82^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 429224.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 429224.

It is not an unprimeable number, because it can be changed into a prime (429223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26819 + ... + 26834.

2⁴²⁹²²⁴ is an apocalyptic number.

It is an amenable number.

429224 is a deficient number, since it is larger than the sum of its proper divisors (375586).

429224 is a wasteful number, since it uses less digits than its factorization.

429224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53659 (or 53655 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 429224 is about 655.1518907856. The cubic root of 429224 is about 75.4329917279.

Subtracting from 429224 its sum of digits (23), we obtain a triangular number (429201 = T₉₂₆).

The spelling of 429224 in words is "four hundred twenty-nine thousand, two hundred twenty-four".