481601120 has 384 divisors, whose sum is σ = 1593188352. Its totient is φ = 132710400.

The previous prime is 481601101. The next prime is 481601137. The reversal of 481601120 is 21106184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4964912 + ... + 4965008.

It is an arithmetic number, because the mean of its divisors is an integer number (4148928).

Almost surely, 2^481601120 is an apocalyptic number.

481601120 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 481601120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796594176).

481601120 is an abundant number, since it is smaller than the sum of its proper divisors (1111587232).

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

481601120 is a wasteful number, since it uses less digits than its factorization.

481601120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 481601120 is about 21945.4122768291. The cubic root of 481601120 is about 783.8431416022.

The spelling of 481601120 in words is "four hundred eighty-one million, six hundred one thousand, one hundred twenty".