430560 has 144 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 101376.

The previous prime is 430553. The next prime is 430571. The reversal of 430560 is 65034.

It is a happy number.

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

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 430560.

It is an unprimeable number.

430560 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 23 ways as a sum of consecutive naturals, for example, 18709 + ... + 18731.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2⁴³⁰⁵⁶⁰ is an apocalyptic number.

430560 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 430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

430560 is an abundant number, since it is smaller than the sum of its proper divisors (1220544).

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

430560 is a wasteful number, since it uses less digits than its factorization.

430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 46 counting only the distinct ones).

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

The square root of 430560 is about 656.1707094956. The cubic root of 430560 is about 75.5111747563.

Adding to 430560 its reverse (65034), we get a palindrome (495594).

It can be divided in two parts, 430 and 560, that added together give a triangular number (990 = T₄₄).

The spelling of 430560 in words is "four hundred thirty thousand, five hundred sixty".