430232880 has 320 divisors, whose sum is σ = 1718747136. Its totient is φ = 86400000.

The previous prime is 430232879. The next prime is 430232921. The reversal of 430232880 is 88232034.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 572505 + ... + 573255.

Almost surely, 2^430232880 is an apocalyptic number.

430232880 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 430232880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859373568).

430232880 is an abundant number, since it is smaller than the sum of its proper divisors (1288514256).

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

430232880 is a wasteful number, since it uses less digits than its factorization.

430232880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 430232880 is about 20742.0558286781. The cubic root of 430232880 is about 754.9204658701.

The spelling of 430232880 in words is "four hundred thirty million, two hundred thirty-two thousand, eight hundred eighty".