481681200 has 480 divisors, whose sum is σ = 2076867072. Its totient is φ = 92160000.

The previous prime is 481681153. The next prime is 481681219. The reversal of 481681200 is 2186184.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 1201000 + ... + 1201400.

Almost surely, 2^481681200 is an apocalyptic number.

481681200 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 481681200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038433536).

481681200 is an abundant number, since it is smaller than the sum of its proper divisors (1595185872).

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

481681200 is a wasteful number, since it uses less digits than its factorization.

481681200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 481681200 is about 21947.2367281168. The cubic root of 481681200 is about 783.8865846629.

The spelling of 481681200 in words is "four hundred eighty-one million, six hundred eighty-one thousand, two hundred".