481042640 has 40 divisors (see below), whose sum is σ = 1204459368. Its totient is φ = 177615360.

The previous prime is 481042619. The next prime is 481042669. The reversal of 481042640 is 46240184.

It can be written as a sum of positive squares in 4 ways, for example, as 1607824 + 479434816 = 1268^2 + 21896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×481042640³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 230231 + ... + 232310.

Almost surely, 2^481042640 is an apocalyptic number.

481042640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481042640 is an abundant number, since it is smaller than the sum of its proper divisors (723416728).

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

481042640 is a wasteful number, since it uses less digits than its factorization.

481042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462567 (or 462561 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 481042640 is about 21932.6842862428. The cubic root of 481042640 is about 783.5400345825.

The spelling of 481042640 in words is "four hundred eighty-one million, forty-two thousand, six hundred forty".