481361664 has 288 divisors, whose sum is σ = 1624734720. Its totient is φ = 123273216.

The previous prime is 481361663. The next prime is 481361669. The reversal of 481361664 is 466163184.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481361663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101902 + ... + 2102130.

It is an arithmetic number, because the mean of its divisors is an integer number (5641440).

Almost surely, 2^481361664 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 481361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812367360).

481361664 is an abundant number, since it is smaller than the sum of its proper divisors (1143373056).

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

481361664 is a wasteful number, since it uses less digits than its factorization.

481361664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 481361664 is about 21939.9558796275. The cubic root of 481361664 is about 783.7132090002.

The spelling of 481361664 in words is "four hundred eighty-one million, three hundred sixty-one thousand, six hundred sixty-four".