480958152381 has 16 divisors (see below), whose sum is σ = 814320681600. Its totient is φ = 274833229824.

The previous prime is 480958152349. The next prime is 480958152397. The reversal of 480958152381 is 183251859084.

480958152381 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 581 + 52 + 3 + 8 + 1 = 666.

It is not a de Polignac number, because 480958152381 - 2⁵ = 480958152349 is a prime.

It is a super-3 number, since 3×480958152381³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480958151381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272375876 + ... + 1272376253.

It is an arithmetic number, because the mean of its divisors is an integer number (50895042600).

Almost surely, 2^480958152381 is an apocalyptic number.

It is an amenable number.

480958152381 is a deficient number, since it is larger than the sum of its proper divisors (333362529219).

480958152381 is a wasteful number, since it uses less digits than its factorization.

480958152381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544752145 (or 2544752139 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 480958152381 in words is "four hundred eighty billion, nine hundred fifty-eight million, one hundred fifty-two thousand, three hundred eighty-one".