429970905 has 48 divisors (see below), whose sum is σ = 917280000. Its totient is φ = 181436544.

The previous prime is 429970903. The next prime is 429970909. The reversal of 429970905 is 509079924.

It is not a de Polignac number, because 429970905 - 2¹ = 429970903 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (429970903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48405 + ... + 56594.

It is an arithmetic number, because the mean of its divisors is an integer number (19110000).

Almost surely, 2^429970905 is an apocalyptic number.

429970905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

429970905 is an abundant number, since it is smaller than the sum of its proper divisors (487309095).

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

429970905 is a wasteful number, since it uses less digits than its factorization.

429970905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105030 (or 105027 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 429970905 is about 20735.7397987147. The cubic root of 429970905 is about 754.7672074423.

The spelling of 429970905 in words is "four hundred twenty-nine million, nine hundred seventy thousand, nine hundred five".