430936064 has 52 divisors (see below), whose sum is σ = 928171356. Its totient is φ = 198868992.

The previous prime is 430936013. The next prime is 430936069. The reversal of 430936064 is 460639034.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 121176064 + 309760000 = 11008^2 + 17600^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is not an unprimeable number, because it can be changed into a prime (430936069) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 49202 + ... + 57294.

Almost surely, 2^430936064 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 430936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464085678).

430936064 is an abundant number, since it is smaller than the sum of its proper divisors (497235292).

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

430936064 is an equidigital number, since it uses as much as digits as its factorization.

430936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8130 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 430936064 is about 20758.9995905390. Note that the first 3 decimals coincide. The cubic root of 430936064 is about 755.3315293268.

The spelling of 430936064 in words is "four hundred thirty million, nine hundred thirty-six thousand, sixty-four".