430268760 has 240 divisors, whose sum is σ = 1501077600. Its totient is φ = 110522880.

The previous prime is 430268753. The next prime is 430268779. The reversal of 430268760 is 67862034.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5446401 + ... + 5446479.

It is an arithmetic number, because the mean of its divisors is an integer number (6254490).

Almost surely, 2^430268760 is an apocalyptic number.

430268760 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 430268760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750538800).

430268760 is an abundant number, since it is smaller than the sum of its proper divisors (1070808840).

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

430268760 is a wasteful number, since it uses less digits than its factorization.

430268760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 430268760 is about 20742.9207200915. The cubic root of 430268760 is about 754.9414512439.

The spelling of 430268760 in words is "four hundred thirty million, two hundred sixty-eight thousand, seven hundred sixty".