481181664 has 96 divisors (see below), whose sum is σ = 1295917056. Its totient is φ = 156280320.

The previous prime is 481181621. The next prime is 481181683. The reversal of 481181664 is 466181184.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 743389 + ... + 744035.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2^481181664 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 481181664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647958528).

481181664 is an abundant number, since it is smaller than the sum of its proper divisors (814735392).

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

481181664 is a wasteful number, since it uses less digits than its factorization.

481181664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 840 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 481181664 is about 21935.8533911950. The cubic root of 481181664 is about 783.6155097888.

The spelling of 481181664 in words is "four hundred eighty-one million, one hundred eighty-one thousand, six hundred sixty-four".