480755053 has 16 divisors (see below), whose sum is σ = 528111360. Its totient is φ = 435801600.

The previous prime is 480755047. The next prime is 480755111. The reversal of 480755053 is 350557084.

It is a cyclic number.

It is not a de Polignac number, because 480755053 - 2²¹ = 478657901 is a prime.

It is a super-3 number, since 3×480755053³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480755003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50698 + ... + 59428.

It is an arithmetic number, because the mean of its divisors is an integer number (33006960).

Almost surely, 2^480755053 is an apocalyptic number.

It is an amenable number.

480755053 is a deficient number, since it is larger than the sum of its proper divisors (47356307).

480755053 is a wasteful number, since it uses less digits than its factorization.

480755053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868.

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 480755053 is about 21926.1271774110. The cubic root of 480755053 is about 783.3838593434.

The spelling of 480755053 in words is "four hundred eighty million, seven hundred fifty-five thousand, fifty-three".