482618752 has 128 divisors (see below), whose sum is σ = 1251417600. Its totient is φ = 179773440.

The previous prime is 482618743. The next prime is 482618767. The reversal of 482618752 is 257816284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 482618699 and 482618708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225624 + ... + 227752.

It is an arithmetic number, because the mean of its divisors is an integer number (9776700).

Almost surely, 2^482618752 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 482618752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625708800).

482618752 is an abundant number, since it is smaller than the sum of its proper divisors (768798848).

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

482618752 is a wasteful number, since it uses less digits than its factorization.

482618752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2172 counting only the distinct ones).

The product of its digits is 215040, while the sum is 43.

The square root of 482618752 is about 21968.5855712196. The cubic root of 482618752 is about 784.3948448432.

The spelling of 482618752 in words is "four hundred eighty-two million, six hundred eighteen thousand, seven hundred fifty-two".