429806680 has 64 divisors (see below), whose sum is σ = 1019433600. Its totient is φ = 162839040.

The previous prime is 429806659. The next prime is 429806711. The reversal of 429806680 is 86608924.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57985 + ... + 64975.

It is an arithmetic number, because the mean of its divisors is an integer number (15928650).

Almost surely, 2^429806680 is an apocalyptic number.

429806680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429806680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509716800).

429806680 is an abundant number, since it is smaller than the sum of its proper divisors (589626920).

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

429806680 is a wasteful number, since it uses less digits than its factorization.

429806680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 7080 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 429806680 is about 20731.7794701757. The cubic root of 429806680 is about 754.6711021575.

The spelling of 429806680 in words is "four hundred twenty-nine million, eight hundred six thousand, six hundred eighty".