486631800 has 576 divisors, whose sum is σ = 1949875200. Its totient is φ = 111974400.

The previous prime is 486631771. The next prime is 486631841. The reversal of 486631800 is 8136684.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 15697785 + ... + 15697815.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^486631800 is an apocalyptic number.

486631800 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 486631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974937600).

486631800 is an abundant number, since it is smaller than the sum of its proper divisors (1463243400).

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

486631800 is a wasteful number, since it uses less digits than its factorization.

486631800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 486631800 is about 22059.7325459762. The cubic root of 486631800 is about 786.5629671154.

The spelling of 486631800 in words is "four hundred eighty-six million, six hundred thirty-one thousand, eight hundred".