430020864 has 324 divisors, whose sum is σ = 1558527516. Its totient is φ = 113025024.

The previous prime is 430020827. The next prime is 430020869. The reversal of 430020864 is 468020034.

It can be written as a sum of positive squares in 2 ways, for example, as 249387264 + 180633600 = 15792^2 + 13440^2 .

It is not an unprimeable number, because it can be changed into a prime (430020869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467502 + ... + 1467794.

Almost surely, 2^430020864 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 430020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779263758).

430020864 is an abundant number, since it is smaller than the sum of its proper divisors (1128506652).

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

430020864 is a wasteful number, since it uses less digits than its factorization.

430020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 430020864 is about 20736.9444229375. The cubic root of 430020864 is about 754.7964388423.

Adding to 430020864 its reverse (468020034), we get a palindrome (898040898).

The spelling of 430020864 in words is "four hundred thirty million, twenty thousand, eight hundred sixty-four".