430006896 has 360 divisors, whose sum is σ = 1466468640. Its totient is φ = 117089280.

The previous prime is 430006883. The next prime is 430006909. The reversal of 430006896 is 698600034.

It is an interprime number because it is at equal distance from previous prime (430006883) and next prime (430006909).

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

It is a self number, because there is not a number n which added to its sum of digits gives 430006896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11621790 + ... + 11621826.

It is an arithmetic number, because the mean of its divisors is an integer number (4073524).

Almost surely, 2^430006896 is an apocalyptic number.

430006896 is a gapful number since it is divisible by the number (46) 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 430006896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733234320).

430006896 is an abundant number, since it is smaller than the sum of its proper divisors (1036461744).

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

430006896 is a wasteful number, since it uses less digits than its factorization.

430006896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 430006896 is about 20736.6076299862. The cubic root of 430006896 is about 754.7882662848.

The spelling of 430006896 in words is "four hundred thirty million, six thousand, eight hundred ninety-six".