482123904 has 128 divisors (see below), whose sum is σ = 1338370560. Its totient is φ = 153600000.

The previous prime is 482123903. The next prime is 482123909. The reversal of 482123904 is 409321284.

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

It is not an unprimeable number, because it can be changed into a prime (482123903) by changing a digit.

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, 1202104 + ... + 1202504.

It is an arithmetic number, because the mean of its divisors is an integer number (10456020).

Almost surely, 2^482123904 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 482123904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669185280).

482123904 is an abundant number, since it is smaller than the sum of its proper divisors (856246656).

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

482123904 is a wasteful number, since it uses less digits than its factorization.

482123904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 482123904 is about 21957.3200550523. The cubic root of 482123904 is about 784.1266628617.

The spelling of 482123904 in words is "four hundred eighty-two million, one hundred twenty-three thousand, nine hundred four".