430640320 has 224 divisors, whose sum is σ = 1211397120. Its totient is φ = 144138240.

The previous prime is 430640291. The next prime is 430640383. The reversal of 430640320 is 23046034.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 430640291 and 430640300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3143292 + ... + 3143428.

Almost surely, 2^430640320 is an apocalyptic number.

430640320 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 430640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605698560).

430640320 is an abundant number, since it is smaller than the sum of its proper divisors (780756800).

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

430640320 is a wasteful number, since it uses less digits than its factorization.

430640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 430640320 is about 20751.8750960004. The cubic root of 430640320 is about 755.1586994435.

Adding to 430640320 its reverse (23046034), we get a palindrome (453686354).

The spelling of 430640320 in words is "four hundred thirty million, six hundred forty thousand, three hundred twenty".