481625664 has 84 divisors (see below), whose sum is σ = 1379957616. Its totient is φ = 148182528.

The previous prime is 481625659. The next prime is 481625689. The reversal of 481625664 is 466526184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25027 + ... + 39869.

Almost surely, 2^481625664 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 481625664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689978808).

481625664 is an abundant number, since it is smaller than the sum of its proper divisors (898331952).

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

481625664 is a wasteful number, since it uses less digits than its factorization.

481625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14884 (or 14861 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 481625664 is about 21945.9714754212. The cubic root of 481625664 is about 783.8564571300.

The spelling of 481625664 in words is "four hundred eighty-one million, six hundred twenty-five thousand, six hundred sixty-four".