477116441 has 16 divisors (see below), whose sum is σ = 523212048. Its totient is φ = 433305600.

The previous prime is 477116399. The next prime is 477116449. The reversal of 477116441 is 144611774.

It can be written as a sum of positive squares in 8 ways, for example, as 8826841 + 468289600 = 2971^2 + 21640^2 .

It is a cyclic number.

It is not a de Polignac number, because 477116441 - 2⁶ = 477116377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (477116449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50621 + ... + 59301.

It is an arithmetic number, because the mean of its divisors is an integer number (32700753).

Almost surely, 2^477116441 is an apocalyptic number.

It is an amenable number.

477116441 is a deficient number, since it is larger than the sum of its proper divisors (46095607).

477116441 is a wasteful number, since it uses less digits than its factorization.

477116441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8812.

The product of its digits is 18816, while the sum is 35.

The square root of 477116441 is about 21842.9952387487. The cubic root of 477116441 is about 781.4024958765.

It can be divided in two parts, 4771 and 16441, that added together give a palindrome (21212).

The spelling of 477116441 in words is "four hundred seventy-seven million, one hundred sixteen thousand, four hundred forty-one".