481039440 has 80 divisors (see below), whose sum is σ = 1704259968. Its totient is φ = 109951488.

The previous prime is 481039439. The next prime is 481039441. The reversal of 481039440 is 44930184.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (481039439) and next prime (481039441).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×481039440³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481039441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 141487 + ... + 144846.

Almost surely, 2^481039440 is an apocalyptic number.

481039440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481039440 is an abundant number, since it is smaller than the sum of its proper divisors (1223220528).

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

481039440 is a wasteful number, since it uses less digits than its factorization.

481039440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286356 (or 286350 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 481039440 is about 21932.6113356344. The cubic root of 481039440 is about 783.5382971525.

The spelling of 481039440 in words is "four hundred eighty-one million, thirty-nine thousand, four hundred forty".