481686720 has 224 divisors, whose sum is σ = 1601150976. Its totient is φ = 122572800.

The previous prime is 481686719. The next prime is 481686739. The reversal of 481686720 is 27686184.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2521825 + ... + 2522015.

Almost surely, 2^481686720 is an apocalyptic number.

481686720 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 481686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800575488).

481686720 is an abundant number, since it is smaller than the sum of its proper divisors (1119464256).

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

481686720 is a wasteful number, since it uses less digits than its factorization.

481686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 481686720 is about 21947.3624839068. The cubic root of 481686720 is about 783.8895790621.

The spelling of 481686720 in words is "four hundred eighty-one million, six hundred eighty-six thousand, seven hundred twenty".