486446400 has 504 divisors, whose sum is σ = 1960437024. Its totient is φ = 113356800.

The previous prime is 486446351. The next prime is 486446431. The reversal of 486446400 is 4644684.

486446400 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 4 + 640 + 0 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5860759 + ... + 5860841.

It is an arithmetic number, because the mean of its divisors is an integer number (3889756).

Almost surely, 2^486446400 is an apocalyptic number.

486446400 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 486446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980218512).

486446400 is an abundant number, since it is smaller than the sum of its proper divisors (1473990624).

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

486446400 is a wasteful number, since it uses less digits than its factorization.

486446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 486446400 is about 22055.5299188208. The cubic root of 486446400 is about 786.4630645486.

The spelling of 486446400 in words is "four hundred eighty-six million, four hundred forty-six thousand, four hundred".