485783200 has 144 divisors (see below), whose sum is σ = 1364912640. Its totient is φ = 165381120.

The previous prime is 485783197. The next prime is 485783201. The reversal of 485783200 is 2387584.

It is a self number, because there is not a number n which added to its sum of digits gives 485783200.

It is not an unprimeable number, because it can be changed into a prime (485783201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248606 + ... + 1248994.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^485783200 is an apocalyptic number.

485783200 is a gapful number since it is divisible by the number (40) 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 485783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

485783200 is an abundant number, since it is smaller than the sum of its proper divisors (879129440).

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

485783200 is a wasteful number, since it uses less digits than its factorization.

485783200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 485783200 is about 22040.4900127016. The cubic root of 485783200 is about 786.1054920813.

The spelling of 485783200 in words is "four hundred eighty-five million, seven hundred eighty-three thousand, two hundred".