481109760 has 144 divisors (see below), whose sum is σ = 1707394080. Its totient is φ = 128286720.

The previous prime is 481109747. The next prime is 481109767. The reversal of 481109760 is 67901184.

481109760 is a `hidden beast` number, since 481 + 109 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481109767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27600 + ... + 41520.

Almost surely, 2^481109760 is an apocalyptic number.

481109760 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 481109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853697040).

481109760 is an abundant number, since it is smaller than the sum of its proper divisors (1226284320).

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

481109760 is a wasteful number, since it uses less digits than its factorization.

481109760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13951 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 481109760 is about 21934.2143693363. The cubic root of 481109760 is about 783.5764754000.

The spelling of 481109760 in words is "four hundred eighty-one million, one hundred nine thousand, seven hundred sixty".