486004608 has 144 divisors (see below), whose sum is σ = 1448389800. Its totient is φ = 156418560.

The previous prime is 486004601. The next prime is 486004613. The reversal of 486004608 is 806400684.

486004608 is a `hidden beast` number, since 4 + 8 + 600 + 46 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486004601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1106853 + ... + 1107291.

Almost surely, 2^486004608 is an apocalyptic number.

486004608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724194900).

486004608 is an abundant number, since it is smaller than the sum of its proper divisors (962385192).

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

486004608 is a wasteful number, since it uses less digits than its factorization.

486004608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 486004608 is about 22045.5121963632. The cubic root of 486004608 is about 786.2249031059.

The spelling of 486004608 in words is "four hundred eighty-six million, four thousand, six hundred eight".