486572800 has 108 divisors (see below), whose sum is σ = 1376519536. Its totient is φ = 166809600.

The previous prime is 486572791. The next prime is 486572803. The reversal of 486572800 is 8275684.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (486572803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39370 + ... + 50230.

Almost surely, 2^486572800 is an apocalyptic number.

486572800 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 486572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688259768).

486572800 is an abundant number, since it is smaller than the sum of its proper divisors (889946736).

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

486572800 is a wasteful number, since it uses less digits than its factorization.

486572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10875 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 486572800 is about 22058.3952272145. The cubic root of 486572800 is about 786.5311777894.

The spelling of 486572800 in words is "four hundred eighty-six million, five hundred seventy-two thousand, eight hundred".