486391200 has 144 divisors (see below), whose sum is σ = 1622146176. Its totient is φ = 126515200.

The previous prime is 486391193. The next prime is 486391231. The reversal of 486391200 is 2193684.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95929 + ... + 100871.

It is an arithmetic number, because the mean of its divisors is an integer number (11264904).

Almost surely, 2^486391200 is an apocalyptic number.

486391200 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 486391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811073088).

486391200 is an abundant number, since it is smaller than the sum of its proper divisors (1135754976).

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

486391200 is a wasteful number, since it uses less digits than its factorization.

486391200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5007 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 486391200 is about 22054.2784964732. The cubic root of 486391200 is about 786.4333151913.

It can be divided in two parts, 486391 and 200, that added together give a triangular number (486591 = T₉₈₆).

The spelling of 486391200 in words is "four hundred eighty-six million, three hundred ninety-one thousand, two hundred".