429646464 has 256 divisors, whose sum is σ = 1394870400. Its totient is φ = 129392640.

The previous prime is 429646447. The next prime is 429646493. The reversal of 429646464 is 464646924.

429646464 is a `hidden beast` number, since 42 + 96 + 464 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 3279679 + ... + 3279809.

Almost surely, 2^429646464 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 429646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697435200).

429646464 is an abundant number, since it is smaller than the sum of its proper divisors (965223936).

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

429646464 is a wasteful number, since it uses less digits than its factorization.

429646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 429646464 is about 20727.9150905247. The cubic root of 429646464 is about 754.5773193650.

The spelling of 429646464 in words is "four hundred twenty-nine million, six hundred forty-six thousand, four hundred sixty-four".