480905079431 has 32 divisors (see below), whose sum is σ = 579843145728. Its totient is φ = 389946648960.

The previous prime is 480905079427. The next prime is 480905079439. The reversal of 480905079431 is 134970509084.

It is a cyclic number.

It is not a de Polignac number, because 480905079431 - 2² = 480905079427 is a prime.

It is a super-3 number, since 3×480905079431³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 480905079431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480905079439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5274725 + ... + 5365121.

It is an arithmetic number, because the mean of its divisors is an integer number (18120098304).

Almost surely, 2^480905079431 is an apocalyptic number.

480905079431 is a deficient number, since it is larger than the sum of its proper divisors (98938066297).

480905079431 is a wasteful number, since it uses less digits than its factorization.

480905079431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90791.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 480905079431 in words is "four hundred eighty billion, nine hundred five million, seventy-nine thousand, four hundred thirty-one".