480825375417477 has 12 divisors (see below), whose sum is σ = 731079518178880. Its totient is φ = 303679184474088.

The previous prime is 480825375417469. The next prime is 480825375417509. The reversal of 480825375417477 is 774714573528084.

480825375417477 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 2 + 5 + 3 + 7 + 541 + 7 + 4 + 77 = 666.

It is not a de Polignac number, because 480825375417477 - 2³ = 480825375417469 is a prime.

It is a super-3 number, since 3×480825375417477³ (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 (480825375417077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1405922150173 + ... + 1405922150514.

Almost surely, 2^{480825375417477} is an apocalyptic number.

It is an amenable number.

480825375417477 is a deficient number, since it is larger than the sum of its proper divisors (250254142761403).

480825375417477 is a wasteful number, since it uses less digits than its factorization.

480825375417477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811844300712 (or 2811844300709 counting only the distinct ones).

The product of its (nonzero) digits is 1475174400, while the sum is 72.

The spelling of 480825375417477 in words is "four hundred eighty trillion, eight hundred twenty-five billion, three hundred seventy-five million, four hundred seventeen thousand, four hundred seventy-seven".