429928401 has 24 divisors (see below), whose sum is σ = 672107520. Its totient is φ = 243728352.

The previous prime is 429928391. The next prime is 429928403. The reversal of 429928401 is 104829924.

It is not a de Polignac number, because 429928401 - 2¹⁸ = 429666257 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 429928401.

It is not an unprimeable number, because it can be changed into a prime (429928403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7155 + ... + 30183.

It is an arithmetic number, because the mean of its divisors is an integer number (28004480).

Almost surely, 2^429928401 is an apocalyptic number.

It is an amenable number.

429928401 is a deficient number, since it is larger than the sum of its proper divisors (242179119).

429928401 is a wasteful number, since it uses less digits than its factorization.

429928401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23173 (or 23166 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 429928401 is about 20734.7148762649. The cubic root of 429928401 is about 754.7423362381.

The spelling of 429928401 in words is "four hundred twenty-nine million, nine hundred twenty-eight thousand, four hundred one".