429476256 has 144 divisors (see below), whose sum is σ = 1381974048. Its totient is φ = 130118400.

The previous prime is 429476251. The next prime is 429476273. The reversal of 429476256 is 652674924.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (429476251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83026 + ... + 88046.

It is an arithmetic number, because the mean of its divisors is an integer number (9597042).

Almost surely, 2^429476256 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 429476256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690987024).

429476256 is an abundant number, since it is smaller than the sum of its proper divisors (952497792).

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

429476256 is a wasteful number, since it uses less digits than its factorization.

429476256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5037 counting only the distinct ones).

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

The square root of 429476256 is about 20723.8089163165. The cubic root of 429476256 is about 754.4776621886.

The spelling of 429476256 in words is "four hundred twenty-nine million, four hundred seventy-six thousand, two hundred fifty-six".