480948252 has 12 divisors (see below), whose sum is σ = 1122212616. Its totient is φ = 160316080.

The previous prime is 480948233. The next prime is 480948263. The reversal of 480948252 is 252849084.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×480948252³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20039499 + ... + 20039522.

It is an arithmetic number, because the mean of its divisors is an integer number (93517718).

Almost surely, 2^480948252 is an apocalyptic number.

It is an amenable number.

480948252 is an abundant number, since it is smaller than the sum of its proper divisors (641264364).

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

480948252 is a wasteful number, since it uses less digits than its factorization.

480948252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40079028 (or 40079026 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 480948252 is about 21930.5324148777. The cubic root of 480948252 is about 783.4887836757.

The spelling of 480948252 in words is "four hundred eighty million, nine hundred forty-eight thousand, two hundred fifty-two".