430864128 has 108 divisors (see below), whose sum is σ = 1271470200. Its totient is φ = 140249088.

The previous prime is 430864127. The next prime is 430864151. The reversal of 430864128 is 821468034.

430864128 is a `hidden beast` number, since 4 + 3 + 0 + 8 + 641 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 430864092 and 430864101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430864127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96898 + ... + 101246.

Almost surely, 2^430864128 is an apocalyptic number.

430864128 is a gapful number since it is divisible by the number (48) 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 430864128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635735100).

430864128 is an abundant number, since it is smaller than the sum of its proper divisors (840606072).

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

430864128 is a wasteful number, since it uses less digits than its factorization.

430864128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 430864128 is about 20757.2668721101. The cubic root of 430864128 is about 755.2894979157.

The spelling of 430864128 in words is "four hundred thirty million, eight hundred sixty-four thousand, one hundred twenty-eight".