431852064 has 192 divisors, whose sum is σ = 1378944000. Its totient is φ = 115596288.

The previous prime is 431852017. The next prime is 431852129. The reversal of 431852064 is 460258134.

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 31 ways as a sum of consecutive naturals, for example, 1902319 + ... + 1902545.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^431852064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431852064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

431852064 is an abundant number, since it is smaller than the sum of its proper divisors (947091936).

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

431852064 is a wasteful number, since it uses less digits than its factorization.

431852064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 431852064 is about 20781.0505990434. The cubic root of 431852064 is about 755.8663294923.

The spelling of 431852064 in words is "four hundred thirty-one million, eight hundred fifty-two thousand, sixty-four".