429705216 has 192 divisors, whose sum is σ = 1343160000. Its totient is φ = 135364608.

The previous prime is 429705187. The next prime is 429705217. The reversal of 429705216 is 612507924.

429705216 is a `hidden beast` number, since 42 + 97 + 0 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (429705217) 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, 1050420 + ... + 1050828.

It is an arithmetic number, because the mean of its divisors is an integer number (6995625).

Almost surely, 2^429705216 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 429705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671580000).

429705216 is an abundant number, since it is smaller than the sum of its proper divisors (913454784).

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

429705216 is a wasteful number, since it uses less digits than its factorization.

429705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 429705216 is about 20729.3322613151. The cubic root of 429705216 is about 754.6117126858.

The spelling of 429705216 in words is "four hundred twenty-nine million, seven hundred five thousand, two hundred sixteen".