480654958158 has 144 divisors (see below), whose sum is σ = 1104225922800. Its totient is φ = 150916147200.

The previous prime is 480654958127. The next prime is 480654958171. The reversal of 480654958158 is 851859456084.

480654958158 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 5 + 49 + 581 + 5 + 8 = 666.

It is a super-3 number, since 3×480654958158³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480654958095 and 480654958104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 254448478 + ... + 254450366.

It is an arithmetic number, because the mean of its divisors is an integer number (7668235575).

Almost surely, 2^480654958158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480654958158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552112961400).

480654958158 is an abundant number, since it is smaller than the sum of its proper divisors (623570964642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480654958158 is a wasteful number, since it uses less digits than its factorization.

480654958158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 63.

The spelling of 480654958158 in words is "four hundred eighty billion, six hundred fifty-four million, nine hundred fifty-eight thousand, one hundred fifty-eight".