486929664 has 144 divisors (see below), whose sum is σ = 1550987200. Its totient is φ = 149796864.

The previous prime is 486929609. The next prime is 486929671. The reversal of 486929664 is 466929684.

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 (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 486929664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87147 + ... + 92565.

Almost surely, 2^486929664 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 486929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775493600).

486929664 is an abundant number, since it is smaller than the sum of its proper divisors (1064057536).

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

486929664 is a wasteful number, since it uses less digits than its factorization.

486929664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5437 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 486929664 is about 22066.4828189723. The cubic root of 486929664 is about 786.7234176556.

The spelling of 486929664 in words is "four hundred eighty-six million, nine hundred twenty-nine thousand, six hundred sixty-four".