431575680 has 256 divisors, whose sum is σ = 1489363200. Its totient is φ = 105971712.

The previous prime is 431575643. The next prime is 431575699. The reversal of 431575680 is 86575134.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280472 + ... + 1280808.

It is an arithmetic number, because the mean of its divisors is an integer number (5817825).

Almost surely, 2^431575680 is an apocalyptic number.

431575680 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 431575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744681600).

431575680 is an abundant number, since it is smaller than the sum of its proper divisors (1057787520).

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

431575680 is a wasteful number, since it uses less digits than its factorization.

431575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 431575680 is about 20774.3996303142. The cubic root of 431575680 is about 755.7050443672.

The spelling of 431575680 in words is "four hundred thirty-one million, five hundred seventy-five thousand, six hundred eighty".