430126560 has 288 divisors, whose sum is σ = 1572480000. Its totient is φ = 106748928.

The previous prime is 430126559. The next prime is 430126561. The reversal of 430126560 is 65621034.

430126560 is a `hidden beast` number, since 4 + 3 + 0 + 1 + 2 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (430126559) and next prime (430126561).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430126561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2161341 + ... + 2161539.

It is an arithmetic number, because the mean of its divisors is an integer number (5460000).

Almost surely, 2^430126560 is an apocalyptic number.

430126560 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 430126560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240000).

430126560 is an abundant number, since it is smaller than the sum of its proper divisors (1142353440).

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

430126560 is a wasteful number, since it uses less digits than its factorization.

430126560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 430126560 is about 20739.4927613961. The cubic root of 430126560 is about 754.8582749342.

Adding to 430126560 its reverse (65621034), we get a palindrome (495747594).

The spelling of 430126560 in words is "four hundred thirty million, one hundred twenty-six thousand, five hundred sixty".