477201000481 has 16 divisors (see below), whose sum is σ = 491571122256. Its totient is φ = 463075200000.

The previous prime is 477201000461. The next prime is 477201000503. The reversal of 477201000481 is 184000102774.

It can be written as a sum of positive squares in 8 ways, for example, as 96296019856 + 380904980625 = 310316^2 + 617175^2 .

It is a cyclic number.

It is not a de Polignac number, because 477201000481 - 2⁵ = 477201000449 is a prime.

It is a super-2 number, since 2×477201000481² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (477201000461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1593421 + ... + 1869061.

It is an arithmetic number, because the mean of its divisors is an integer number (30723195141).

Almost surely, 2^477201000481 is an apocalyptic number.

It is an amenable number.

477201000481 is a deficient number, since it is larger than the sum of its proper divisors (14370121775).

477201000481 is a wasteful number, since it uses less digits than its factorization.

477201000481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276084.

The product of its (nonzero) digits is 12544, while the sum is 34.

The spelling of 477201000481 in words is "four hundred seventy-seven billion, two hundred one million, four hundred eighty-one", and thus it is an aban number.