429161216 has 72 divisors (see below), whose sum is σ = 939741264. Its totient is φ = 193986560.

The previous prime is 429161207. The next prime is 429161219. The reversal of 429161216 is 612161924.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (429161219) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 723416 + ... + 724008.

It is an arithmetic number, because the mean of its divisors is an integer number (13051962).

Almost surely, 2^429161216 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 429161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469870632).

429161216 is an abundant number, since it is smaller than the sum of its proper divisors (510580048).

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

429161216 is a wasteful number, since it uses less digits than its factorization.

429161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its digits is 5184, while the sum is 32.

The square root of 429161216 is about 20716.2066025612. The cubic root of 429161216 is about 754.2931360501.

The spelling of 429161216 in words is "four hundred twenty-nine million, one hundred sixty-one thousand, two hundred sixteen".