430528000 has 240 divisors, whose sum is σ = 1267767072. Its totient is φ = 142848000.

The previous prime is 430527983. The next prime is 430528013. The reversal of 430528000 is 825034.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13887985 + ... + 13888015.

Almost surely, 2^430528000 is an apocalyptic number.

430528000 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 430528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633883536).

430528000 is an abundant number, since it is smaller than the sum of its proper divisors (837239072).

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

430528000 is an frugal number, since it uses more digits than its factorization.

430528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 430528000 is about 20749.1686580451. The cubic root of 430528000 is about 755.0930400084.

The spelling of 430528000 in words is "four hundred thirty million, five hundred twenty-eight thousand".