481768560 has 800 divisors, whose sum is σ = 2218191360. Its totient is φ = 94058496.

The previous prime is 481768519. The next prime is 481768589. The reversal of 481768560 is 65867184.

It is a happy number.

481768560 is a `hidden beast` number, since 4 + 81 + 7 + 6 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11203899 + ... + 11203941.

Almost surely, 2^481768560 is an apocalyptic number.

481768560 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 481768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109095680).

481768560 is an abundant number, since it is smaller than the sum of its proper divisors (1736422800).

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

481768560 is a wasteful number, since it uses less digits than its factorization.

481768560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 481768560 is about 21949.2268656552. The cubic root of 481768560 is about 783.9339716015.

The spelling of 481768560 in words is "four hundred eighty-one million, seven hundred sixty-eight thousand, five hundred sixty".