480511178352 has 180 divisors, whose sum is σ = 1412346942552. Its totient is φ = 152459884800.

The previous prime is 480511178299. The next prime is 480511178353. The reversal of 480511178352 is 253871115084.

480511178352 is a `hidden beast` number, since 4 + 8 + 0 + 511 + 1 + 7 + 83 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 480511178298 and 480511178307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480511178353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8412963 + ... + 8469885.

Almost surely, 2^480511178352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480511178352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706173471276).

480511178352 is an abundant number, since it is smaller than the sum of its proper divisors (931835764200).

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

480511178352 is a wasteful number, since it uses less digits than its factorization.

480511178352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57060 (or 57020 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 480511178352 in words is "four hundred eighty billion, five hundred eleven million, one hundred seventy-eight thousand, three hundred fifty-two".