486917200 has 120 divisors (see below), whose sum is σ = 1458567360. Its totient is φ = 151756800.

The previous prime is 486917183. The next prime is 486917209. The reversal of 486917200 is 2719684.

It is a self number, because there is not a number n which added to its sum of digits gives 486917200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486917209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22896 + ... + 38704.

It is an arithmetic number, because the mean of its divisors is an integer number (12154728).

Almost surely, 2^486917200 is an apocalyptic number.

486917200 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 486917200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729283680).

486917200 is an abundant number, since it is smaller than the sum of its proper divisors (971650160).

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

486917200 is a wasteful number, since it uses less digits than its factorization.

486917200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15845 (or 15834 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 486917200 is about 22066.2003978936. The cubic root of 486917200 is about 786.7167049789.

The spelling of 486917200 in words is "four hundred eighty-six million, nine hundred seventeen thousand, two hundred".