429929910 has 128 divisors (see below), whose sum is σ = 1235520000. Its totient is φ = 106033536.

The previous prime is 429929909. The next prime is 429929933. The reversal of 429929910 is 19929924.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219616 + ... + 221564.

It is an arithmetic number, because the mean of its divisors is an integer number (9652500).

Almost surely, 2^429929910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429929910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617760000).

429929910 is an abundant number, since it is smaller than the sum of its proper divisors (805590090).

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

429929910 is a wasteful number, since it uses less digits than its factorization.

429929910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 429929910 is about 20734.7512644835. The cubic root of 429929910 is about 754.7432192571.

The spelling of 429929910 in words is "four hundred twenty-nine million, nine hundred twenty-nine thousand, nine hundred ten".