430272 has 70 divisors (see below), whose sum is σ = 1290828. Its totient is φ = 141696.

The previous prime is 430267. The next prime is 430277. The reversal of 430272 is 272034.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (430267) and next prime (430277).

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

It is not an unprimeable number, because it can be changed into a prime (430277) by changing a digit.

430272 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 9 ways as a sum of consecutive naturals, for example, 5143 + ... + 5225.

2⁴³⁰²⁷² 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 430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645414).

430272 is an abundant number, since it is smaller than the sum of its proper divisors (860556).

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

430272 is an equidigital number, since it uses as much as digits as its factorization.

430272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 430272 is about 655.9512176984. The cubic root of 430272 is about 75.4943346187.

It can be divided in two parts, 4 and 30272, that added together give a square (30276 = 174²).

The spelling of 430272 in words is "four hundred thirty thousand, two hundred seventy-two".