486180800 has 168 divisors, whose sum is σ = 1386327936. Its totient is φ = 164367360.

The previous prime is 486180791. The next prime is 486180811. The reversal of 486180800 is 8081684.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929339 + ... + 929861.

It is an arithmetic number, because the mean of its divisors is an integer number (8251952).

Almost surely, 2^486180800 is an apocalyptic number.

486180800 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 486180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693163968).

486180800 is an abundant number, since it is smaller than the sum of its proper divisors (900147136).

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

486180800 is a wasteful number, since it uses less digits than its factorization.

486180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 486180800 is about 22049.5079310174. The cubic root of 486180800 is about 786.3199020690.

The spelling of 486180800 in words is "four hundred eighty-six million, one hundred eighty thousand, eight hundred".