486643600 has 45 divisors (see below), whose sum is σ = 1170222193. Its totient is φ = 194480960.

The previous prime is 486643571. The next prime is 486643601. The reversal of 486643600 is 6346684.

The square root of 486643600 is 22060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 175191696 + 311451904 = 13236^2 + 17648^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 486643600.

It is not an unprimeable number, because it can be changed into a prime (486643601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 440649 + ... + 441751.

Almost surely, 2^486643600 is an apocalyptic number.

486643600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

486643600 is the 22060-th square number.

It is an amenable number.

486643600 is an abundant number, since it is smaller than the sum of its proper divisors (683578593).

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

486643600 is an equidigital number, since it uses as much as digits as its factorization.

486643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The cubic root of 486643600 is about 786.5693246722.

Multiplying 486643600 by its product of nonzero digits (82944), we get a square (40364166758400 = 6353280²).

The spelling of 486643600 in words is "four hundred eighty-six million, six hundred forty-three thousand, six hundred".