481982900 has 72 divisors (see below), whose sum is σ = 1236587520. Its totient is φ = 159546240.

The previous prime is 481982881. The next prime is 481982923. The reversal of 481982900 is 9289184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8429 + ... + 32171.

Almost surely, 2^481982900 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 481982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618293760).

481982900 is an abundant number, since it is smaller than the sum of its proper divisors (754604620).

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

481982900 is a wasteful number, since it uses less digits than its factorization.

481982900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23793 (or 23786 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 481982900 is about 21954.1089548175. The cubic root of 481982900 is about 784.0502124060.

The spelling of 481982900 in words is "four hundred eighty-one million, nine hundred eighty-two thousand, nine hundred".