486012000 has 192 divisors, whose sum is σ = 1611949248. Its totient is φ = 128000000.

The previous prime is 486011993. The next prime is 486012013. The reversal of 486012000 is 210684.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211800 + ... + 1212200.

It is an arithmetic number, because the mean of its divisors is an integer number (8395569).

Almost surely, 2^486012000 is an apocalyptic number.

486012000 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 486012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805974624).

486012000 is an abundant number, since it is smaller than the sum of its proper divisors (1125937248).

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

486012000 is a wasteful number, since it uses less digits than its factorization.

486012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 486012000 is about 22045.6798488956. The cubic root of 486012000 is about 786.2288891758.

Adding to 486012000 its reverse (210684), we get a palindrome (486222684).

The spelling of 486012000 in words is "four hundred eighty-six million, twelve thousand".