430944 has 36 divisors (see below), whose sum is σ = 1148364. Its totient is φ = 141504.

The previous prime is 430921. The next prime is 430949. The reversal of 430944 is 449034.

It is a super-2 number, since 2×430944² = 371425462272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430949) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6399 + ... + 6465.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2⁴³⁰⁹⁴⁴ 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 430944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574182).

430944 is an abundant number, since it is smaller than the sum of its proper divisors (717420).

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

430944 is an equidigital number, since it uses as much as digits as its factorization.

430944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 430944 is about 656.4632510659. The cubic root of 430944 is about 75.5336165958.

Multiplying 430944 by its sum of digits (24), we get a square (10342656 = 3216²).

430944 divided by its sum of digits (24) gives a square (17956 = 134²).

Adding to 430944 its reverse (449034), we get a palindrome (879978).

The spelling of 430944 in words is "four hundred thirty thousand, nine hundred forty-four".