481186368 has 168 divisors, whose sum is σ = 1497787200. Its totient is φ = 146820096.

The previous prime is 481186351. The next prime is 481186379. The reversal of 481186368 is 863681184.

It is a happy number.

481186368 is a `hidden beast` number, since 4 + 8 + 1 + 1 + 8 + 636 + 8 = 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 23 ways as a sum of consecutive naturals, for example, 1340173 + ... + 1340531.

It is an arithmetic number, because the mean of its divisors is an integer number (8915400).

Almost surely, 2^481186368 is an apocalyptic number.

481186368 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 481186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748893600).

481186368 is an abundant number, since it is smaller than the sum of its proper divisors (1016600832).

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

481186368 is a wasteful number, since it uses less digits than its factorization.

481186368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 481186368 is about 21935.9606126561. The cubic root of 481186368 is about 783.6180633049.

The spelling of 481186368 in words is "four hundred eighty-one million, one hundred eighty-six thousand, three hundred sixty-eight".