430920 has 160 divisors (see below), whose sum is σ = 1742400. Its totient is φ = 93312.

The previous prime is 430909. The next prime is 430921. The reversal of 430920 is 29034.

430920 = T₉₅ + T₉₆ + ... + T₁₅₀.

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

It is a junction number, because it is equal to n+sod(n) for n = 430893 and 430902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430921) by changing a digit.

430920 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 39 ways as a sum of consecutive naturals, for example, 22671 + ... + 22689.

It is an arithmetic number, because the mean of its divisors is an integer number (10890).

2⁴³⁰⁹²⁰ is an apocalyptic number.

430920 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 430920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871200).

430920 is an abundant number, since it is smaller than the sum of its proper divisors (1311480).

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

430920 is a wasteful number, since it uses less digits than its factorization.

430920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 430920 is about 656.4449710372. Note that the first 3 decimals coincide. The cubic root of 430920 is about 75.5322143715.

Adding to 430920 its reverse (29034), we get a palindrome (459954).

The spelling of 430920 in words is "four hundred thirty thousand, nine hundred twenty".