481901120 has 56 divisors (see below), whose sum is σ = 1187119800. Its totient is φ = 186109952.

The previous prime is 481901113. The next prime is 481901171. The reversal of 481901120 is 21109184.

It can be written as a sum of positive squares in 4 ways, for example, as 171295744 + 310605376 = 13088^2 + 17624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 481901120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16685 + ... + 35244.

Almost surely, 2^481901120 is an apocalyptic number.

481901120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481901120 is an abundant number, since it is smaller than the sum of its proper divisors (705218680).

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

481901120 is a wasteful number, since it uses less digits than its factorization.

481901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51975 (or 51965 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 481901120 is about 21952.2463543028. The cubic root of 481901120 is about 784.0058655677.

The spelling of 481901120 in words is "four hundred eighty-one million, nine hundred one thousand, one hundred twenty".