430880 has 24 divisors (see below), whose sum is σ = 1018332. Its totient is φ = 172288.

The previous prime is 430879. The next prime is 430883. The reversal of 430880 is 88034.

430880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 5776 = 652^2 + 76^2 .

It is not an unprimeable number, because it can be changed into a prime (430883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1187 + ... + 1506.

2⁴³⁰⁸⁸⁰ is an apocalyptic number.

430880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430880 is an abundant number, since it is smaller than the sum of its proper divisors (587452).

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

430880 is a wasteful number, since it uses less digits than its factorization.

430880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 430880 is about 656.4145031914. The cubic root of 430880 is about 75.5298772152.

The spelling of 430880 in words is "four hundred thirty thousand, eight hundred eighty".