481296384 has 168 divisors, whose sum is σ = 1509948720. Its totient is φ = 150994944.

The previous prime is 481296349. The next prime is 481296397. The reversal of 481296384 is 483692184.

It is a happy number.

481296384 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 9 + 638 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28311544 + ... + 28311560.

It is an arithmetic number, because the mean of its divisors is an integer number (8987790).

Almost surely, 2^481296384 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 481296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754974360).

481296384 is an abundant number, since it is smaller than the sum of its proper divisors (1028652336).

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

481296384 is an frugal number, since it uses more digits than its factorization.

481296384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 22 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 481296384 is about 21938.4681324836. The cubic root of 481296384 is about 783.6777795681.

The spelling of 481296384 in words is "four hundred eighty-one million, two hundred ninety-six thousand, three hundred eighty-four".