429105820 has 96 divisors (see below), whose sum is σ = 1077027840. Its totient is φ = 141538560.

The previous prime is 429105799. The next prime is 429105821. The reversal of 429105820 is 28501924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429105821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167469 + ... + 170011.

It is an arithmetic number, because the mean of its divisors is an integer number (11219040).

Almost surely, 2^429105820 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 429105820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538513920).

429105820 is an abundant number, since it is smaller than the sum of its proper divisors (647922020).

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

429105820 is a wasteful number, since it uses less digits than its factorization.

429105820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 429105820 is about 20714.8695385706. The cubic root of 429105820 is about 754.2606800103.

The spelling of 429105820 in words is "four hundred twenty-nine million, one hundred five thousand, eight hundred twenty".