430380132 has 216 divisors, whose sum is σ = 1303791552. Its totient is φ = 110073600.

The previous prime is 430380121. The next prime is 430380133. The reversal of 430380132 is 231083034.

It is not an unprimeable number, because it can be changed into a prime (430380133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6061657 + ... + 6061727.

It is an arithmetic number, because the mean of its divisors is an integer number (6036072).

Almost surely, 2^430380132 is an apocalyptic number.

430380132 is a gapful number since it is divisible by the number (42) 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 430380132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651895776).

430380132 is an abundant number, since it is smaller than the sum of its proper divisors (873411420).

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

430380132 is a wasteful number, since it uses less digits than its factorization.

430380132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 430380132 is about 20745.6051249415. The cubic root of 430380132 is about 755.0065826948.

The spelling of 430380132 in words is "four hundred thirty million, three hundred eighty thousand, one hundred thirty-two".