481605120 has 120 divisors (see below), whose sum is σ = 1668013776. Its totient is φ = 128421888.

The previous prime is 481605107. The next prime is 481605127. The reversal of 481605120 is 21506184.

481605120 is a `hidden beast` number, since 48 + 1 + 605 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×481605120² = 463886983220428800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481605127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12589 + ... + 33491.

Almost surely, 2^481605120 is an apocalyptic number.

481605120 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 481605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834006888).

481605120 is an abundant number, since it is smaller than the sum of its proper divisors (1186408656).

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

481605120 is a wasteful number, since it uses less digits than its factorization.

481605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20932 (or 20913 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 481605120 is about 21945.5034118609. The cubic root of 481605120 is about 783.8453116995.

The spelling of 481605120 in words is "four hundred eighty-one million, six hundred five thousand, one hundred twenty".