430056 has 64 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 129600.

The previous prime is 430019. The next prime is 430057. The reversal of 430056 is 650034.

It is a happy number.

430056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

430056 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 430056.

It is not an unprimeable number, because it can be changed into a prime (430057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2286 + ... + 2466.

It is an arithmetic number, because the mean of its divisors is an integer number (20475).

2⁴³⁰⁰⁵⁶ 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 430056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

430056 is an abundant number, since it is smaller than the sum of its proper divisors (880344).

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

430056 is a wasteful number, since it uses less digits than its factorization.

430056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 430056 is about 655.7865506398. The cubic root of 430056 is about 75.4816995834.

It can be divided in two parts, 4300 and 56, that added together give a square (4356 = 66²).

The spelling of 430056 in words is "four hundred thirty thousand, fifty-six".