429427656 has 224 divisors, whose sum is σ = 1409183040. Its totient is φ = 120092544.

The previous prime is 429427639. The next prime is 429427697. The reversal of 429427656 is 656724924.

It is a super-2 number, since 2×429427656² = 368816223475308672, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2735130 + ... + 2735286.

Almost surely, 2^429427656 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 429427656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704591520).

429427656 is an abundant number, since it is smaller than the sum of its proper divisors (979755384).

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

429427656 is a wasteful number, since it uses less digits than its factorization.

429427656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 236 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 429427656 is about 20722.6363187699. The cubic root of 429427656 is about 754.4492019442.

The spelling of 429427656 in words is "four hundred twenty-nine million, four hundred twenty-seven thousand, six hundred fifty-six".