481101520 has 40 divisors (see below), whose sum is σ = 1123488360. Its totient is φ = 191592960.

The previous prime is 481101497. The next prime is 481101521. The reversal of 481101520 is 25101184.

It can be written as a sum of positive squares in 4 ways, for example, as 24681024 + 456420496 = 4968^2 + 21364^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 481101491 and 481101500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481101521) 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 7 ways as a sum of consecutive naturals, for example, 5190 + ... + 31450.

It is an arithmetic number, because the mean of its divisors is an integer number (28087209).

Almost surely, 2^481101520 is an apocalyptic number.

481101520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481101520 is an abundant number, since it is smaller than the sum of its proper divisors (642386840).

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

481101520 is a wasteful number, since it uses less digits than its factorization.

481101520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26503 (or 26497 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 481101520 is about 21934.0265341318. The cubic root of 481101520 is about 783.5720019184.

The spelling of 481101520 in words is "four hundred eighty-one million, one hundred one thousand, five hundred twenty".