480711433293 has 160 divisors (see below), whose sum is σ = 891152416000. Its totient is φ = 252506750976.

The previous prime is 480711433273. The next prime is 480711433303. The reversal of 480711433293 is 392334117084.

480711433293 is a `hidden beast` number, since 480 + 7 + 1 + 143 + 3 + 29 + 3 = 666.

It is not a de Polignac number, because 480711433293 - 2²⁰ = 480710384717 is a prime.

It is a super-3 number, since 3×480711433293³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480711433273) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 625112013 + ... + 625112781.

It is an arithmetic number, because the mean of its divisors is an integer number (5569702600).

Almost surely, 2^480711433293 is an apocalyptic number.

It is an amenable number.

480711433293 is a deficient number, since it is larger than the sum of its proper divisors (410440982707).

480711433293 is an frugal number, since it uses more digits than its factorization.

480711433293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 480711433293 in words is "four hundred eighty billion, seven hundred eleven million, four hundred thirty-three thousand, two hundred ninety-three".