431275680 has 288 divisors, whose sum is σ = 1691202240. Its totient is φ = 98979840.

The previous prime is 431275667. The next prime is 431275727. The reversal of 431275680 is 86572134.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300244 + ... + 301676.

It is an arithmetic number, because the mean of its divisors is an integer number (5872230).

Almost surely, 2^431275680 is an apocalyptic number.

431275680 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 431275680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845601120).

431275680 is an abundant number, since it is smaller than the sum of its proper divisors (1259926560).

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

431275680 is a wasteful number, since it uses less digits than its factorization.

431275680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 431275680 is about 20767.1779498323. The cubic root of 431275680 is about 755.5299000644.

The spelling of 431275680 in words is "four hundred thirty-one million, two hundred seventy-five thousand, six hundred eighty".