481187520 has 448 divisors, whose sum is σ = 1904878080. Its totient is φ = 113356800.

The previous prime is 481187513. The next prime is 481187557. The reversal of 481187520 is 25781184.

481187520 is a `hidden beast` number, since 48 + 11 + 87 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5797399 + ... + 5797481.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^481187520 is an apocalyptic number.

481187520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952439040).

481187520 is an abundant number, since it is smaller than the sum of its proper divisors (1423690560).

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

481187520 is a wasteful number, since it uses less digits than its factorization.

481187520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 481187520 is about 21935.9868708932. The cubic root of 481187520 is about 783.6186886532.

The spelling of 481187520 in words is "four hundred eighty-one million, one hundred eighty-seven thousand, five hundred twenty".