430341120 has 352 divisors, whose sum is σ = 1674282240. Its totient is φ = 103956480.

The previous prime is 430341097. The next prime is 430341137. The reversal of 430341120 is 21143034.

It is a tau number, because it is divible by the number of its divisors (352).

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 = 430341093 and 430341102.

It is a congruent number.

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, 1520499 + ... + 1520781.

Almost surely, 2^430341120 is an apocalyptic number.

430341120 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 430341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837141120).

430341120 is an abundant number, since it is smaller than the sum of its proper divisors (1243941120).

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

430341120 is a wasteful number, since it uses less digits than its factorization.

430341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430341120 is about 20744.6648562950. The cubic root of 430341120 is about 754.9837693688.

Adding to 430341120 its reverse (21143034), we get a palindrome (451484154).

The spelling of 430341120 in words is "four hundred thirty million, three hundred forty-one thousand, one hundred twenty".