430440 has 64 divisors (see below), whose sum is σ = 1373760. Its totient is φ = 107520.

The previous prime is 430433. The next prime is 430453. The reversal of 430440 is 44034.

430440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

430440 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 15 ways as a sum of consecutive naturals, for example, 1935 + ... + 2145.

It is an arithmetic number, because the mean of its divisors is an integer number (21465).

2⁴³⁰⁴⁴⁰ is an apocalyptic number.

430440 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 430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686880).

430440 is an abundant number, since it is smaller than the sum of its proper divisors (943320).

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

430440 is a wasteful number, since it uses less digits than its factorization.

430440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 430440 is about 656.0792635040. The cubic root of 430440 is about 75.5041589452.

Adding to 430440 its reverse (44034), we get a palindrome (474474).

The spelling of 430440 in words is "four hundred thirty thousand, four hundred forty".