481782120 has 128 divisors (see below), whose sum is σ = 1475850240. Its totient is φ = 125798400.

The previous prime is 481782097. The next prime is 481782121. The reversal of 481782120 is 21287184.

It is a happy number.

It is a super-2 number, since 2×481782120² = 464228022303388800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (481782121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1539084 + ... + 1539396.

It is an arithmetic number, because the mean of its divisors is an integer number (11530080).

Almost surely, 2^481782120 is an apocalyptic number.

481782120 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 481782120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737925120).

481782120 is an abundant number, since it is smaller than the sum of its proper divisors (994068120).

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

481782120 is a wasteful number, since it uses less digits than its factorization.

481782120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 481782120 is about 21949.5357581886. The cubic root of 481782120 is about 783.9413264781.

The spelling of 481782120 in words is "four hundred eighty-one million, seven hundred eighty-two thousand, one hundred twenty".