486111600 has 540 divisors, whose sum is σ = 1975293216. Its totient is φ = 110223360.

The previous prime is 486111581. The next prime is 486111607. The reversal of 486111600 is 6111684.

486111600 is a `hidden beast` number, since 48 + 6 + 1 + 11 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486111607) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 10342777 + ... + 10342823.

Almost surely, 2^486111600 is an apocalyptic number.

486111600 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 486111600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987646608).

486111600 is an abundant number, since it is smaller than the sum of its proper divisors (1489181616).

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

486111600 is a wasteful number, since it uses less digits than its factorization.

486111600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 486111600 is about 22047.9386791600. The cubic root of 486111600 is about 786.2825936445.

It can be divided in two parts, 4861 and 11600, that added together give a palindrome (16461).

The spelling of 486111600 in words is "four hundred eighty-six million, one hundred eleven thousand, six hundred".