481105656 has 80 divisors (see below), whose sum is σ = 1366651440. Its totient is φ = 158094720.

The previous prime is 481105633. The next prime is 481105663. The reversal of 481105656 is 656501184.

481105656 is a `hidden beast` number, since 4 + 81 + 10 + 565 + 6 = 666.

It is a super-3 number, since 3×481105656³ (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 481105656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40780 + ... + 51236.

It is an arithmetic number, because the mean of its divisors is an integer number (17083143).

Almost surely, 2^481105656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481105656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683325720).

481105656 is an abundant number, since it is smaller than the sum of its proper divisors (885545784).

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

481105656 is a wasteful number, since it uses less digits than its factorization.

481105656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10546 (or 10533 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 481105656 is about 21934.1208166637. The cubic root of 481105656 is about 783.5742473520.

The spelling of 481105656 in words is "four hundred eighty-one million, one hundred five thousand, six hundred fifty-six".