486882000 has 240 divisors, whose sum is σ = 1855863360. Its totient is φ = 117984000.

The previous prime is 486881981. The next prime is 486882013. The reversal of 486882000 is 288684.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196771 + ... + 199229.

It is an arithmetic number, because the mean of its divisors is an integer number (7732764).

Almost surely, 2^486882000 is an apocalyptic number.

486882000 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 486882000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927931680).

486882000 is an abundant number, since it is smaller than the sum of its proper divisors (1368981360).

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

486882000 is a wasteful number, since it uses less digits than its factorization.

486882000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 486882000 is about 22065.4027835433. The cubic root of 486882000 is about 786.6977468649.

It can be divided in two parts, 4868 and 82000, that added together give a palindrome (86868).

The spelling of 486882000 in words is "four hundred eighty-six million, eight hundred eighty-two thousand".