433972642756 has 27 divisors (see below), whose sum is σ = 793962860173. Its totient is φ = 207537640640.

The previous prime is 433972642709. The next prime is 433972642769. The reversal of 433972642756 is 657246279334.

The square root of 433972642756 is 658766.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4895241156 + 429077401600 = 69966^2 + 655040^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 433972642756.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30296076 + ... + 30310396.

Almost surely, 2^433972642756 is an apocalyptic number.

433972642756 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

433972642756 is the 658766-th square number.

It is an amenable number.

433972642756 is a deficient number, since it is larger than the sum of its proper divisors (359990217417).

433972642756 is an frugal number, since it uses more digits than its factorization.

433972642756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28692 (or 14346 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 58.

The spelling of 433972642756 in words is "four hundred thirty-three billion, nine hundred seventy-two million, six hundred forty-two thousand, seven hundred fifty-six".