481006368 has 36 divisors (see below), whose sum is σ = 1367862678. Its totient is φ = 160335360.

The previous prime is 481006367. The next prime is 481006397. The reversal of 481006368 is 863600184.

It is a happy number.

481006368 is a `hidden beast` number, since 4 + 8 + 10 + 0 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 467078544 + 13927824 = 21612^2 + 3732^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×481006368³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (481006363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 834793 + ... + 835368.

Almost surely, 2^481006368 is an apocalyptic number.

481006368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

481006368 is an abundant number, since it is smaller than the sum of its proper divisors (886856310).

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

481006368 is a wasteful number, since it uses less digits than its factorization.

481006368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670177 (or 1670166 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 481006368 is about 21931.8573768844. The cubic root of 481006368 is about 783.5203403626.

The spelling of 481006368 in words is "four hundred eighty-one million, six thousand, three hundred sixty-eight".