430120320 has 128 divisors (see below), whose sum is σ = 1566915840. Its totient is φ = 98310144.

The previous prime is 430120303. The next prime is 430120331. The reversal of 430120320 is 23021034.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 430120320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2562 + ... + 29441.

It is an arithmetic number, because the mean of its divisors is an integer number (12241530).

Almost surely, 2^430120320 is an apocalyptic number.

430120320 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 430120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783457920).

430120320 is an abundant number, since it is smaller than the sum of its proper divisors (1136795520).

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

430120320 is a wasteful number, since it uses less digits than its factorization.

430120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32032 (or 32020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 430120320 is about 20739.3423232271. The cubic root of 430120320 is about 754.8546245834.

Adding to 430120320 its reverse (23021034), we get a palindrome (453141354).

The spelling of 430120320 in words is "four hundred thirty million, one hundred twenty thousand, three hundred twenty".