480066048 has 480 divisors, whose sum is σ = 1828632960. Its totient is φ = 121651200.

The previous prime is 480066047. The next prime is 480066071. The reversal of 480066048 is 840660084.

480066048 is a `hidden beast` number, since 48 + 0 + 0 + 6 + 604 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (480066047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11708908 + ... + 11708948.

It is an arithmetic number, because the mean of its divisors is an integer number (3809652).

Almost surely, 2^480066048 is an apocalyptic number.

480066048 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 480066048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914316480).

480066048 is an abundant number, since it is smaller than the sum of its proper divisors (1348566912).

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

480066048 is a wasteful number, since it uses less digits than its factorization.

480066048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

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

The square root of 480066048 is about 21910.4095808362. The cubic root of 480066048 is about 783.0094389725.

The spelling of 480066048 in words is "four hundred eighty million, sixty-six thousand, forty-eight".