481536000 has 576 divisors, whose sum is σ = 1993118400. Its totient is φ = 110592000.

The previous prime is 481535963. The next prime is 481536001. The reversal of 481536000 is 635184.

481536000 is a `hidden beast` number, since 4 + 8 + 1 + 53 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (481536001) 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 47 ways as a sum of consecutive naturals, for example, 25343991 + ... + 25344009.

It is an arithmetic number, because the mean of its divisors is an integer number (3460275).

Almost surely, 2^481536000 is an apocalyptic number.

481536000 is a gapful number since it is divisible by the number (40) 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 481536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996559200).

481536000 is an abundant number, since it is smaller than the sum of its proper divisors (1511582400).

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

481536000 is a wasteful number, since it uses less digits than its factorization.

481536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 481536000 is about 21943.9285452719. The cubic root of 481536000 is about 783.8078107277.

The spelling of 481536000 in words is "four hundred eighty-one million, five hundred thirty-six thousand".