430080 has 104 divisors (see below), whose sum is σ = 1572672. Its totient is φ = 98304.

The previous prime is 430061. The next prime is 430081. The reversal of 430080 is 80034.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (430081) by changing a digit.

430080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61437 + ... + 61443.

2⁴³⁰⁰⁸⁰ is an apocalyptic number.

430080 is a gapful number since it is divisible by the number (40) 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 430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786336).

430080 is an abundant number, since it is smaller than the sum of its proper divisors (1142592).

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

430080 is an equidigital number, since it uses as much as digits as its factorization.

430080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 430080 is about 655.8048490214. The cubic root of 430080 is about 75.4831036851.

The spelling of 430080 in words is "four hundred thirty thousand, eighty".