480755052 has 18 divisors (see below), whose sum is σ = 1215242028. Its totient is φ = 160251672.

The previous prime is 480755047. The next prime is 480755111. The reversal of 480755052 is 250557084.

It is a happy number.

480755052 is a `hidden beast` number, since 4 + 80 + 75 + 505 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×480755052³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (36) 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 (36), and also a Moran number because the ratio is a prime number: 13354307 = 480755052 / (4 + 8 + 0 + 7 + 5 + 5 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 480754998 and 480755016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6677118 + ... + 6677189.

It is an arithmetic number, because the mean of its divisors is an integer number (67513446).

Almost surely, 2^480755052 is an apocalyptic number.

It is an amenable number.

480755052 is an abundant number, since it is smaller than the sum of its proper divisors (734486976).

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

480755052 is a wasteful number, since it uses less digits than its factorization.

480755052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13354317 (or 13354312 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 480755052 is about 21926.1271546071. The cubic root of 480755052 is about 783.3838588003.

The spelling of 480755052 in words is "four hundred eighty million, seven hundred fifty-five thousand, fifty-two".