429785664 has 168 divisors, whose sum is σ = 1443398688. Its totient is φ = 111605760.

The previous prime is 429785651. The next prime is 429785693. The reversal of 429785664 is 466587924.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101412 + ... + 105564.

Almost surely, 2^429785664 is an apocalyptic number.

429785664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721699344).

429785664 is an abundant number, since it is smaller than the sum of its proper divisors (1013613024).

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

429785664 is a wasteful number, since it uses less digits than its factorization.

429785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4176 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 429785664 is about 20731.2726092732. The cubic root of 429785664 is about 754.6588017232.

The spelling of 429785664 in words is "four hundred twenty-nine million, seven hundred eighty-five thousand, six hundred sixty-four".