486036000 has 288 divisors, whose sum is σ = 1803005568. Its totient is φ = 123763200.

The previous prime is 486035999. The next prime is 486036007. The reversal of 486036000 is 630684.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (486036007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827707 + ... + 828293.

It is an arithmetic number, because the mean of its divisors is an integer number (6260436).

Almost surely, 2^486036000 is an apocalyptic number.

486036000 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 486036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901502784).

486036000 is an abundant number, since it is smaller than the sum of its proper divisors (1316969568).

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

486036000 is a wasteful number, since it uses less digits than its factorization.

486036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 486036000 is about 22046.2241665098. The cubic root of 486036000 is about 786.2418306826.

Adding to 486036000 its reverse (630684), we get a palindrome (486666684).

The spelling of 486036000 in words is "four hundred eighty-six million, thirty-six thousand".