481765900 has 288 divisors, whose sum is σ = 1424908800. Its totient is φ = 136857600.

The previous prime is 481765883. The next prime is 481765903. The reversal of 481765900 is 9567184.

It is not an unprimeable number, because it can be changed into a prime (481765903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5413056 + ... + 5413144.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^481765900 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 481765900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

481765900 is an abundant number, since it is smaller than the sum of its proper divisors (943142900).

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

481765900 is a wasteful number, since it uses less digits than its factorization.

481765900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 481765900 is about 21949.1662711821. The cubic root of 481765900 is about 783.9325288146.

The spelling of 481765900 in words is "four hundred eighty-one million, seven hundred sixty-five thousand, nine hundred".