486534400 has 108 divisors (see below), whose sum is σ = 1313915904. Its totient is φ = 176896000.

The previous prime is 486534317. The next prime is 486534401. The reversal of 486534400 is 4435684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486534401) 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 11 ways as a sum of consecutive naturals, for example, 66945 + ... + 73855.

It is an arithmetic number, because the mean of its divisors is an integer number (12165888).

Almost surely, 2^486534400 is an apocalyptic number.

486534400 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 486534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656957952).

486534400 is an abundant number, since it is smaller than the sum of its proper divisors (827381504).

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

486534400 is a wasteful number, since it uses less digits than its factorization.

486534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 486534400 is about 22057.5247931403. The cubic root of 486534400 is about 786.5104864069.

The spelling of 486534400 in words is "four hundred eighty-six million, five hundred thirty-four thousand, four hundred".