481057040 has 20 divisors (see below), whose sum is σ = 1118457804. Its totient is φ = 192422784.

The previous prime is 481057033. The next prime is 481057043. The reversal of 481057040 is 40750184.

It can be written as a sum of positive squares in 2 ways, for example, as 75759616 + 405297424 = 8704^2 + 20132^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×481057040³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 481056994 and 481057012.

It is not an unprimeable number, because it can be changed into a prime (481057043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3006527 + ... + 3006686.

Almost surely, 2^481057040 is an apocalyptic number.

481057040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481057040 is an abundant number, since it is smaller than the sum of its proper divisors (637400764).

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

481057040 is a wasteful number, since it uses less digits than its factorization.

481057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013226 (or 6013220 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 481057040 is about 21933.0125609776. The cubic root of 481057040 is about 783.5478529219.

The spelling of 481057040 in words is "four hundred eighty-one million, fifty-seven thousand, forty".