429604056 has 144 divisors (see below), whose sum is σ = 1364322960. Its totient is φ = 119629440.

The previous prime is 429603997. The next prime is 429604141. The reversal of 429604056 is 650406924.

429604056 is a `hidden beast` number, since 42 + 9 + 604 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×429604056² = 369119289863302272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 429604056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 931666 + ... + 932126.

It is an arithmetic number, because the mean of its divisors is an integer number (9474465).

Almost surely, 2^429604056 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 429604056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682161480).

429604056 is an abundant number, since it is smaller than the sum of its proper divisors (934718904).

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

429604056 is a wasteful number, since it uses less digits than its factorization.

429604056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 429604056 is about 20726.8920969836. The cubic root of 429604056 is about 754.5524918455.

The spelling of 429604056 in words is "four hundred twenty-nine million, six hundred four thousand, fifty-six".