429795660 has 216 divisors, whose sum is σ = 1468862640. Its totient is φ = 93515520.

The previous prime is 429795659. The next prime is 429795701. The reversal of 429795660 is 66597924.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6053425 + ... + 6053495.

It is an arithmetic number, because the mean of its divisors is an integer number (6800290).

Almost surely, 2^429795660 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 429795660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734431320).

429795660 is an abundant number, since it is smaller than the sum of its proper divisors (1039066980).

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

429795660 is a wasteful number, since it uses less digits than its factorization.

429795660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 429795660 is about 20731.5136929265. The cubic root of 429795660 is about 754.6646523224.

The spelling of 429795660 in words is "four hundred twenty-nine million, seven hundred ninety-five thousand, six hundred sixty".