430159040 has 112 divisors (see below), whose sum is σ = 1075773312. Its totient is φ = 163639296.

The previous prime is 430158913. The next prime is 430159049. The reversal of 430159040 is 40951034.

It is not an unprimeable number, because it can be changed into a prime (430159049) 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 15 ways as a sum of consecutive naturals, for example, 556094 + ... + 556866.

Almost surely, 2^430159040 is an apocalyptic number.

430159040 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 430159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537886656).

430159040 is an abundant number, since it is smaller than the sum of its proper divisors (645614272).

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

430159040 is a wasteful number, since it uses less digits than its factorization.

430159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 430159040 is about 20740.2757937304. The cubic root of 430159040 is about 754.8772749076.

The spelling of 430159040 in words is "four hundred thirty million, one hundred fifty-nine thousand, forty".