430868160 has 196 divisors, whose sum is σ = 1539136368. Its totient is φ = 114835968.

The previous prime is 430868153. The next prime is 430868161. The reversal of 430868160 is 61868034.

It is a happy number.

430868160 is a `hidden beast` number, since 430 + 8 + 68 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (430868161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 232357 + ... + 234203.

Almost surely, 2^430868160 is an apocalyptic number.

430868160 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 430868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769568184).

430868160 is an abundant number, since it is smaller than the sum of its proper divisors (1108268208).

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

430868160 is an equidigital number, since it uses as much as digits as its factorization.

430868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 430868160 is about 20757.3639944960. The cubic root of 430868160 is about 755.2918538926.

The spelling of 430868160 in words is "four hundred thirty million, eight hundred sixty-eight thousand, one hundred sixty".