429826656 has 192 divisors, whose sum is σ = 1362493440. Its totient is φ = 116052480.

The previous prime is 429826637. The next prime is 429826693. The reversal of 429826656 is 656628924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 978885 + ... + 979323.

It is an arithmetic number, because the mean of its divisors is an integer number (7096320).

Almost surely, 2^429826656 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 429826656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681246720).

429826656 is an abundant number, since it is smaller than the sum of its proper divisors (932666784).

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

429826656 is a wasteful number, since it uses less digits than its factorization.

429826656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 529 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 429826656 is about 20732.2612370190. The cubic root of 429826656 is about 754.6827935194.

The spelling of 429826656 in words is "four hundred twenty-nine million, eight hundred twenty-six thousand, six hundred fifty-six".