429913224 has 128 divisors (see below), whose sum is σ = 1292995200. Its totient is φ = 131569920.

The previous prime is 429913219. The next prime is 429913241. The reversal of 429913224 is 422319924.

429913224 is a `hidden beast` number, since 429 + 9 + 1 + 3 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794394 + ... + 794934.

It is an arithmetic number, because the mean of its divisors is an integer number (10101525).

Almost surely, 2^429913224 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 429913224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646497600).

429913224 is an abundant number, since it is smaller than the sum of its proper divisors (863081976).

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

429913224 is a wasteful number, since it uses less digits than its factorization.

429913224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 842 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 429913224 is about 20734.3488925985. The cubic root of 429913224 is about 754.7334550235.

The spelling of 429913224 in words is "four hundred twenty-nine million, nine hundred thirteen thousand, two hundred twenty-four".