430882560 has 216 divisors, whose sum is σ = 1508545584. Its totient is φ = 113541120.

The previous prime is 430882549. The next prime is 430882579. The reversal of 430882560 is 65288034.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1301595 + ... + 1301925.

Almost surely, 2^430882560 is an apocalyptic number.

430882560 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 430882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754272792).

430882560 is an abundant number, since it is smaller than the sum of its proper divisors (1077663024).

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

430882560 is a wasteful number, since it uses less digits than its factorization.

430882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 430882560 is about 20757.7108564504. The cubic root of 430882560 is about 755.3002679757.

It can be divided in two parts, 4308 and 82560, that added together give a palindrome (86868).

The spelling of 430882560 in words is "four hundred thirty million, eight hundred eighty-two thousand, five hundred sixty".