476722583401 has 9 divisors (see below), whose sum is σ = 488097380151. Its totient is φ = 465607012752.

The previous prime is 476722583387. The next prime is 476722583423. The reversal of 476722583401 is 104385227674.

The square root of 476722583401 is 690451.

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., 217869565225 + 258853018176 = 466765^2 + 508776^2 .

It is not a de Polignac number, because 476722583401 - 2⁷ = 476722583273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (476722583461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29681365 + ... + 29697421.

It is an arithmetic number, because the mean of its divisors is an integer number (54233042239).

Almost surely, 2^476722583401 is an apocalyptic number.

476722583401 is the 690451-st square number.

476722583401 is the 345226-th centered octagonal number.

It is an amenable number.

476722583401 is a deficient number, since it is larger than the sum of its proper divisors (11374796750).

476722583401 is an frugal number, since it uses more digits than its factorization.

476722583401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32200 (or 16100 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

Multiplying 476722583401 by its sum of digits (49), we get a square (23359406586649 = 4833157²).

The spelling of 476722583401 in words is "four hundred seventy-six billion, seven hundred twenty-two million, five hundred eighty-three thousand, four hundred one".