481585500 has 480 divisors, whose sum is σ = 1826592768. Its totient is φ = 109296000.

The previous prime is 481585487. The next prime is 481585519. The reversal of 481585500 is 5585184.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10246477 + ... + 10246523.

Almost surely, 2^481585500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481585500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913296384).

481585500 is an abundant number, since it is smaller than the sum of its proper divisors (1345007268).

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

481585500 is a wasteful number, since it uses less digits than its factorization.

481585500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 481585500 is about 21945.0563909050. The cubic root of 481585500 is about 783.8346672571.

The spelling of 481585500 in words is "four hundred eighty-one million, five hundred eighty-five thousand, five hundred".