486064800 has 360 divisors, whose sum is σ = 1912244796. Its totient is φ = 119439360.

The previous prime is 486064781. The next prime is 486064837. The reversal of 486064800 is 8460684.

486064800 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 648 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 249766416 + 236298384 = 15804^2 + 15372^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 842112 + ... + 842688.

Almost surely, 2^486064800 is an apocalyptic number.

486064800 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 486064800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956122398).

486064800 is an abundant number, since it is smaller than the sum of its proper divisors (1426179996).

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

486064800 is a wasteful number, since it uses less digits than its factorization.

486064800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 486064800 is about 22046.8773299077. The cubic root of 486064800 is about 786.2573599283.

The spelling of 486064800 in words is "four hundred eighty-six million, sixty-four thousand, eight hundred".