481529664 has 504 divisors, whose sum is σ = 1848551040. Its totient is φ = 122411520.

The previous prime is 481529663. The next prime is 481529677. The reversal of 481529664 is 466925184.

481529664 = 22³ + 23³ + ... + 209³.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481529663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10245289 + ... + 10245335.

It is an arithmetic number, because the mean of its divisors is an integer number (3667760).

Almost surely, 2^481529664 is an apocalyptic number.

481529664 is a gapful number since it is divisible by the number (44) 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 481529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924275520).

481529664 is an abundant number, since it is smaller than the sum of its proper divisors (1367021376).

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

481529664 is a wasteful number, since it uses less digits than its factorization.

481529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 481529664 is about 21943.7841768461. The cubic root of 481529664 is about 783.8043729591.

The spelling of 481529664 in words is "four hundred eighty-one million, five hundred twenty-nine thousand, six hundred sixty-four".