480938521248 has 60 divisors (see below), whose sum is σ = 1414426839210. Its totient is φ = 160312839552.

The previous prime is 480938521243. The next prime is 480938521303. The reversal of 480938521248 is 842125839084.

480938521248 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 385 + 212 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 307239621264 + 173698899984 = 554292^2 + 416772^2 .

It is a super-3 number, since 3×480938521248³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 480938521194 and 480938521203.

It is not an unprimeable number, because it can be changed into a prime (480938521243) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 92771043 + ... + 92776226.

Almost surely, 2^480938521248 is an apocalyptic number.

480938521248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480938521248 is an abundant number, since it is smaller than the sum of its proper divisors (933488317962).

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

480938521248 is a wasteful number, since it uses less digits than its factorization.

480938521248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185547291 (or 185547274 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 480938521248 in words is "four hundred eighty billion, nine hundred thirty-eight million, five hundred twenty-one thousand, two hundred forty-eight".