430890 has 32 divisors (see below), whose sum is σ = 1057536. Its totient is φ = 112320.

The previous prime is 430883. The next prime is 430891. The reversal of 430890 is 98034.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 430890.

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 430890.

It is not an unprimeable number, because it can be changed into a prime (430891) by changing a digit.

430890 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, 1455 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (33048).

2⁴³⁰⁸⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528768).

430890 is an abundant number, since it is smaller than the sum of its proper divisors (626646).

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

430890 is a wasteful number, since it uses less digits than its factorization.

430890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 430890 is about 656.4221202854. The cubic root of 430890 is about 75.5304615179.

The spelling of 430890 in words is "four hundred thirty thousand, eight hundred ninety".