486464832 has 224 divisors, whose sum is σ = 1652259840. Its totient is φ = 137479680.

The previous prime is 486464827. The next prime is 486464851. The reversal of 486464832 is 238464684.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1584423 + ... + 1584729.

It is an arithmetic number, because the mean of its divisors is an integer number (7376160).

Almost surely, 2^486464832 is an apocalyptic number.

486464832 is a gapful number since it is divisible by the number (42) 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 486464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826129920).

486464832 is an abundant number, since it is smaller than the sum of its proper divisors (1165795008).

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

486464832 is a wasteful number, since it uses less digits than its factorization.

486464832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 450 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 486464832 is about 22055.9477692526. The cubic root of 486464832 is about 786.4729977459.

It can be divided in two parts, 4864 and 64832, that added together give a palindrome (69696).

The spelling of 486464832 in words is "four hundred eighty-six million, four hundred sixty-four thousand, eight hundred thirty-two".