481328064 has 336 divisors, whose sum is σ = 1703303680. Its totient is φ = 126904320.

The previous prime is 481328009. The next prime is 481328129. The reversal of 481328064 is 460823184.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4673037 + ... + 4673139.

Almost surely, 2^481328064 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 481328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851651840).

481328064 is an abundant number, since it is smaller than the sum of its proper divisors (1221975616).

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

481328064 is a wasteful number, since it uses less digits than its factorization.

481328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

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

The square root of 481328064 is about 21939.1901400211. The cubic root of 481328064 is about 783.6949736632.

The spelling of 481328064 in words is "four hundred eighty-one million, three hundred twenty-eight thousand, sixty-four".