481360500 has 144 divisors (see below), whose sum is σ = 1556165520. Its totient is φ = 125184000.

The previous prime is 481360499. The next prime is 481360543. The reversal of 481360500 is 5063184.

481360500 is a `hidden beast` number, since 48 + 13 + 605 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 294053904 + 187306596 = 17148^2 + 13686^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183196 + ... + 185804.

It is an arithmetic number, because the mean of its divisors is an integer number (10806705).

Almost surely, 2^481360500 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 481360500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778082760).

481360500 is an abundant number, since it is smaller than the sum of its proper divisors (1074805020).

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

481360500 is a wasteful number, since it uses less digits than its factorization.

481360500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 481360500 is about 21939.9293526666. The cubic root of 481360500 is about 783.7125772903.

The spelling of 481360500 in words is "four hundred eighty-one million, three hundred sixty thousand, five hundred".