481705632 has 144 divisors (see below), whose sum is σ = 1473413760. Its totient is φ = 148801536.

The previous prime is 481705603. The next prime is 481705633. The reversal of 481705632 is 236507184.

481705632 is a `hidden beast` number, since 4 + 8 + 17 + 0 + 5 + 632 = 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 not an unprimeable number, because it can be changed into a prime (481705633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256248 + ... + 258120.

It is an arithmetic number, because the mean of its divisors is an integer number (10232040).

Almost surely, 2^481705632 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 481705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736706880).

481705632 is an abundant number, since it is smaller than the sum of its proper divisors (991708128).

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

481705632 is a wasteful number, since it uses less digits than its factorization.

481705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 481705632 is about 21947.7933287153. The cubic root of 481705632 is about 783.8998379607.

The spelling of 481705632 in words is "four hundred eighty-one million, seven hundred five thousand, six hundred thirty-two".