430080320 has 56 divisors (see below), whose sum is σ = 1028776200. Its totient is φ = 171251712.

The previous prime is 430080271. The next prime is 430080347. The reversal of 430080320 is 23080034.

It can be written as a sum of positive squares in 4 ways, for example, as 49674304 + 380406016 = 7048^2 + 19504^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 430080292 and 430080301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70346 + ... + 76214.

Almost surely, 2^430080320 is an apocalyptic number.

430080320 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 430080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514388100).

430080320 is an abundant number, since it is smaller than the sum of its proper divisors (598695880).

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

430080320 is a wasteful number, since it uses less digits than its factorization.

430080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6115 (or 6105 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 430080320 is about 20738.3779500712. The cubic root of 430080320 is about 754.8312240607.

The spelling of 430080320 in words is "four hundred thirty million, eighty thousand, three hundred twenty".