430768 has 40 divisors (see below), whose sum is σ = 954800. Its totient is φ = 186624.

The previous prime is 430753. The next prime is 430769. The reversal of 430768 is 867034.

It is a super-2 number, since 2×430768² = 371122139648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (430769) by changing a digit.

430768 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, 3898 + ... + 4006.

It is an arithmetic number, because the mean of its divisors is an integer number (23870).

2⁴³⁰⁷⁶⁸ 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 430768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477400).

430768 is an abundant number, since it is smaller than the sum of its proper divisors (524032).

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

430768 is a wasteful number, since it uses less digits than its factorization.

430768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 430768 is about 656.3291856988. The cubic root of 430768 is about 75.5233324083.

The spelling of 430768 in words is "four hundred thirty thousand, seven hundred sixty-eight".