429991072 has 72 divisors (see below), whose sum is σ = 1027658016. Its totient is φ = 176254848.

The previous prime is 429991063. The next prime is 429991117. The reversal of 429991072 is 270199924.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30103 + ... + 42025.

It is an arithmetic number, because the mean of its divisors is an integer number (14273028).

Almost surely, 2^429991072 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 429991072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513829008).

429991072 is an abundant number, since it is smaller than the sum of its proper divisors (597666944).

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

429991072 is a wasteful number, since it uses less digits than its factorization.

429991072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11970 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 429991072 is about 20736.2260790145. The cubic root of 429991072 is about 754.7790075836.

The spelling of 429991072 in words is "four hundred twenty-nine million, nine hundred ninety-one thousand, seventy-two".