429406296 has 128 divisors (see below), whose sum is σ = 1227571200. Its totient is φ = 123984000.

The previous prime is 429406259. The next prime is 429406303. The reversal of 429406296 is 692604924.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 580695 + ... + 581433.

It is an arithmetic number, because the mean of its divisors is an integer number (9590400).

Almost surely, 2^429406296 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 429406296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613785600).

429406296 is an abundant number, since it is smaller than the sum of its proper divisors (798164904).

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

429406296 is a wasteful number, since it uses less digits than its factorization.

429406296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 429406296 is about 20722.1209339199. The cubic root of 429406296 is about 754.4366928119.

The spelling of 429406296 in words is "four hundred twenty-nine million, four hundred six thousand, two hundred ninety-six".