480635627301 has 24 divisors (see below), whose sum is σ = 725512946496. Its totient is φ = 306036783360.

The previous prime is 480635627243. The next prime is 480635627317. The reversal of 480635627301 is 103726536084.

480635627301 is a `hidden beast` number, since 4 + 8 + 0 + 635 + 6 + 2 + 7 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 480635627301 - 2²² = 480631432997 is a prime.

It is a super-3 number, since 3×480635627301³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480635627341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1585735 + ... + 1864356.

It is an arithmetic number, because the mean of its divisors is an integer number (30229706104).

Almost surely, 2^480635627301 is an apocalyptic number.

It is an amenable number.

480635627301 is a deficient number, since it is larger than the sum of its proper divisors (244877319195).

480635627301 is a wasteful number, since it uses less digits than its factorization.

480635627301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450793 (or 3450790 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 480635627301 in words is "four hundred eighty billion, six hundred thirty-five million, six hundred twenty-seven thousand, three hundred one".