480662201912256 has 560 divisors, whose sum is σ = 1756559947172800. Its totient is φ = 126557050060800.

The previous prime is 480662201912251. The next prime is 480662201912257. The reversal of 480662201912256 is 652219102266084.

480662201912256 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 6 + 220 + 191 + 225 + 6 = 666.

It is a super-3 number, since 3×480662201912256³ (a number of 45 digits) contains 333 as substring.

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 (480662201912251) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 282670470 + ... + 284365818.

It is an arithmetic number, because the mean of its divisors is an integer number (3136714191380).

Almost surely, 2^{480662201912256} 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 480662201912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878279973586400).

480662201912256 is an abundant number, since it is smaller than the sum of its proper divisors (1275897745260544).

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

480662201912256 is a wasteful number, since it uses less digits than its factorization.

480662201912256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695994 (or 1695975 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 480662201912256 in words is "four hundred eighty trillion, six hundred sixty-two billion, two hundred one million, nine hundred twelve thousand, two hundred fifty-six".