430172064 has 288 divisors, whose sum is σ = 1473937920. Its totient is φ = 116453376.

The previous prime is 430172053. The next prime is 430172081. The reversal of 430172064 is 460271034.

430172064 is a `hidden beast` number, since 430 + 172 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5445177 + ... + 5445255.

It is an arithmetic number, because the mean of its divisors is an integer number (5117840).

Almost surely, 2^430172064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430172064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736968960).

430172064 is an abundant number, since it is smaller than the sum of its proper divisors (1043765856).

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

430172064 is a wasteful number, since it uses less digits than its factorization.

430172064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 430172064 is about 20740.5897698209. The cubic root of 430172064 is about 754.8848933476.

The spelling of 430172064 in words is "four hundred thirty million, one hundred seventy-two thousand, sixty-four".