485761600 has 189 divisors, whose sum is σ = 1306497387. Its totient is φ = 177730560.

The previous prime is 485761597. The next prime is 485761631. The reversal of 485761600 is 6167584.

The square root of 485761600 is 22040.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6677056 + 479084544 = 2584^2 + 21888^2 .

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 485761600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16750386 + ... + 16750414.

Almost surely, 2^485761600 is an apocalyptic number.

485761600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

485761600 is the 22040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485761600

485761600 is an abundant number, since it is smaller than the sum of its proper divisors (820735787).

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

485761600 is a wasteful number, since it uses less digits than its factorization.

485761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The cubic root of 485761600 is about 786.0938407039.

It can be divided in two parts, 48576 and 1600, that added together give a square (50176 = 224²).

The spelling of 485761600 in words is "four hundred eighty-five million, seven hundred sixty-one thousand, six hundred".