480004608 has 160 divisors (see below), whose sum is σ = 1339557120. Its totient is φ = 152616960.

The previous prime is 480004559. The next prime is 480004649. The reversal of 480004608 is 806400084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4403658 + ... + 4403766.

It is an arithmetic number, because the mean of its divisors is an integer number (8372232).

Almost surely, 2^480004608 is an apocalyptic number.

480004608 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 480004608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669778560).

480004608 is an abundant number, since it is smaller than the sum of its proper divisors (859552512).

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

480004608 is a wasteful number, since it uses less digits than its factorization.

480004608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 480004608 is about 21909.0074626853. The cubic root of 480004608 is about 782.9760337410.

The spelling of 480004608 in words is "four hundred eighty million, four thousand, six hundred eight".