481785120 has 288 divisors, whose sum is σ = 1733659200. Its totient is φ = 121669632.

The previous prime is 481785113. The next prime is 481785121. The reversal of 481785120 is 21587184.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (481785121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3466011 + ... + 3466149.

It is an arithmetic number, because the mean of its divisors is an integer number (6019650).

Almost surely, 2^481785120 is an apocalyptic number.

481785120 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 481785120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866829600).

481785120 is an abundant number, since it is smaller than the sum of its proper divisors (1251874080).

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

481785120 is a wasteful number, since it uses less digits than its factorization.

481785120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 481785120 is about 21949.6040966574. The cubic root of 481785120 is about 783.9429536446.

The spelling of 481785120 in words is "four hundred eighty-one million, seven hundred eighty-five thousand, one hundred twenty".