429442506 has 64 divisors (see below), whose sum is σ = 978220800. Its totient is φ = 139608000.

The previous prime is 429442493. The next prime is 429442543. The reversal of 429442506 is 605244924.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386680 + ... + 387788.

It is an arithmetic number, because the mean of its divisors is an integer number (15284700).

Almost surely, 2^429442506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429442506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489110400).

429442506 is an abundant number, since it is smaller than the sum of its proper divisors (548778294).

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

429442506 is a wasteful number, since it uses less digits than its factorization.

429442506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 429442506 is about 20722.9946195042. The cubic root of 429442506 is about 754.4578983578.

The spelling of 429442506 in words is "four hundred twenty-nine million, four hundred forty-two thousand, five hundred six".