480882474450301 has 64 divisors (see below), whose sum is σ = 607039680798720. Its totient is φ = 370048063714560.

The previous prime is 480882474450247. The next prime is 480882474450337. The reversal of 480882474450301 is 103054474288084.

It is not a de Polignac number, because 480882474450301 - 2⁷ = 480882474450173 is a prime.

It is a super-3 number, since 3×480882474450301³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480882474150301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14228538135 + ... + 14228571931.

It is an arithmetic number, because the mean of its divisors is an integer number (9484995012480).

Almost surely, 2^{480882474450301} is an apocalyptic number.

It is an amenable number.

480882474450301 is a deficient number, since it is larger than the sum of its proper divisors (126157206348419).

480882474450301 is a wasteful number, since it uses less digits than its factorization.

480882474450301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38834.

The product of its (nonzero) digits is 27525120, while the sum is 58.

The spelling of 480882474450301 in words is "four hundred eighty trillion, eight hundred eighty-two billion, four hundred seventy-four million, four hundred fifty thousand, three hundred one".