481938200 has 48 divisors (see below), whose sum is σ = 1126230000. Its totient is φ = 191790720.

The previous prime is 481938199. The next prime is 481938217. The reversal of 481938200 is 2839184.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33746 + ... + 45854.

It is an arithmetic number, because the mean of its divisors is an integer number (23463125).

Almost surely, 2^481938200 is an apocalyptic number.

481938200 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 481938200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563115000).

481938200 is an abundant number, since it is smaller than the sum of its proper divisors (644291800).

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

481938200 is a wasteful number, since it uses less digits than its factorization.

481938200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 481938200 is about 21953.0908985500. The cubic root of 481938200 is about 784.0259735599.

The spelling of 481938200 in words is "four hundred eighty-one million, nine hundred thirty-eight thousand, two hundred".