430132120 has 64 divisors (see below), whose sum is σ = 1066141440. Its totient is φ = 154876800.

The previous prime is 430132111. The next prime is 430132123. The reversal of 430132120 is 21231034.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 430132094 and 430132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430132123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40575 + ... + 50065.

It is an arithmetic number, because the mean of its divisors is an integer number (16658460).

Almost surely, 2^430132120 is an apocalyptic number.

430132120 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 430132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533070720).

430132120 is an abundant number, since it is smaller than the sum of its proper divisors (636009320).

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

430132120 is a wasteful number, since it uses less digits than its factorization.

430132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616 (or 9612 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 430132120 is about 20739.6268047427. The cubic root of 430132120 is about 754.8615274605.

Adding to 430132120 its reverse (21231034), we get a palindrome (451363154).

The spelling of 430132120 in words is "four hundred thirty million, one hundred thirty-two thousand, one hundred twenty".