480880365704025 has 48 divisors (see below), whose sum is σ = 914733121488000. Its totient is φ = 218355648284160.

The previous prime is 480880365704017. The next prime is 480880365704099. The reversal of 480880365704025 is 520407563088084.

It is not a de Polignac number, because 480880365704025 - 2³ = 480880365704017 is a prime.

It is a super-3 number, since 3×480880365704025³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 480880365704025.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3073621780 + ... + 3073778229.

It is an arithmetic number, because the mean of its divisors is an integer number (19056940031000).

Almost surely, 2^{480880365704025} is an apocalyptic number.

It is an amenable number.

480880365704025 is a deficient number, since it is larger than the sum of its proper divisors (433852755783975).

480880365704025 is a wasteful number, since it uses less digits than its factorization.

480880365704025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147400178 (or 6147400173 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 60.

The spelling of 480880365704025 in words is "four hundred eighty trillion, eight hundred eighty billion, three hundred sixty-five million, seven hundred four thousand, twenty-five".