487827200 has 108 divisors (see below), whose sum is σ = 1380067920. Its totient is φ = 167239680.

The previous prime is 487827199. The next prime is 487827209. The reversal of 487827200 is 2728784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (487827209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39356 + ... + 50244.

Almost surely, 2^487827200 is an apocalyptic number.

487827200 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 487827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690033960).

487827200 is an abundant number, since it is smaller than the sum of its proper divisors (892240720).

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

487827200 is a wasteful number, since it uses less digits than its factorization.

487827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10922 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The square root of 487827200 is about 22086.8105438517. The cubic root of 487827200 is about 787.2064985032.

The spelling of 487827200 in words is "four hundred eighty-seven million, eight hundred twenty-seven thousand, two hundred".