480617886357 has 18 divisors (see below), whose sum is σ = 807568830198. Its totient is φ = 274638791952.

The previous prime is 480617886349. The next prime is 480617886383. The reversal of 480617886357 is 753688716084.

480617886357 is a `hidden beast` number, since 4 + 8 + 0 + 617 + 8 + 8 + 6 + 3 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 316247644881 + 164370241476 = 562359^2 + 405426^2 .

It is not a de Polignac number, because 480617886357 - 2³ = 480617886349 is a prime.

It is a super-3 number, since 3×480617886357³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 480617886294 and 480617886303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480617881357) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 544917798 + ... + 544918679.

It is an arithmetic number, because the mean of its divisors is an integer number (44864935011).

Almost surely, 2^480617886357 is an apocalyptic number.

It is an amenable number.

480617886357 is a deficient number, since it is larger than the sum of its proper divisors (326950943841).

480617886357 is a wasteful number, since it uses less digits than its factorization.

480617886357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089836497 (or 1089836487 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 480617886357 in words is "four hundred eighty billion, six hundred seventeen million, eight hundred eighty-six thousand, three hundred fifty-seven".