480652958016 has 588 divisors, whose sum is σ = 1796560812256. Its totient is φ = 124834659840.

The previous prime is 480652958011. The next prime is 480652958041. The reversal of 480652958016 is 610859256084.

480652958016 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 52 + 9 + 580 + 1 + 6 = 666.

It is a super-3 number, since 3×480652958016³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480652958011) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 39511551 + ... + 39523713.

Almost surely, 2^480652958016 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 480652958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898280406128).

480652958016 is an abundant number, since it is smaller than the sum of its proper divisors (1315907854240).

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

480652958016 is a wasteful number, since it uses less digits than its factorization.

480652958016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12222 (or 12186 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 480652958016 in words is "four hundred eighty billion, six hundred fifty-two million, nine hundred fifty-eight thousand, sixteen".