429008712 has 64 divisors (see below), whose sum is σ = 1192138560. Its totient is φ = 127545600.

The previous prime is 429008693. The next prime is 429008717. The reversal of 429008712 is 217800924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (429008717) 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, 1339 + ... + 29322.

It is an arithmetic number, because the mean of its divisors is an integer number (18627165).

Almost surely, 2^429008712 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 429008712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596069280).

429008712 is an abundant number, since it is smaller than the sum of its proper divisors (763129848).

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

429008712 is a wasteful number, since it uses less digits than its factorization.

429008712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30734 (or 30730 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 429008712 is about 20712.5254858021. The cubic root of 429008712 is about 754.2037785277.

The spelling of 429008712 in words is "four hundred twenty-nine million, eight thousand, seven hundred twelve".