476807445918241 has 9 divisors (see below), whose sum is σ = 503223808767921. Its totient is φ = 451711924139124.

The previous prime is 476807445918179. The next prime is 476807445918247. The reversal of 476807445918241 is 142819544708674.

The square root of 476807445918241 is 21835921.

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

It is not a de Polignac number, because 476807445918241 - 2⁹ = 476807445917729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (476807445918247) 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, 414307870 + ... + 415457128.

It is an arithmetic number, because the mean of its divisors is an integer number (55913756529769).

Almost surely, 2^{476807445918241} is an apocalyptic number.

476807445918241 is the 21835921-st square number.

476807445918241 is the 10917961-st centered octagonal number.

It is an amenable number.

476807445918241 is a deficient number, since it is larger than the sum of its proper divisors (26416362849680).

476807445918241 is an frugal number, since it uses more digits than its factorization.

476807445918241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298556 (or 1149278 counting only the distinct ones).

The product of its (nonzero) digits is 433520640, while the sum is 70.

The spelling of 476807445918241 in words is "four hundred seventy-six trillion, eight hundred seven billion, four hundred forty-five million, nine hundred eighteen thousand, two hundred forty-one".