486906336 has 384 divisors, whose sum is σ = 1741824000. Its totient is φ = 132088320.

The previous prime is 486906319. The next prime is 486906349. The reversal of 486906336 is 633609684.

486906336 is a `hidden beast` number, since 4 + 8 + 6 + 9 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 486906291 and 486906300.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 9186886 + ... + 9186938.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^486906336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912000).

486906336 is an abundant number, since it is smaller than the sum of its proper divisors (1254917664).

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

486906336 is a wasteful number, since it uses less digits than its factorization.

486906336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 486906336 is about 22065.9542281769. The cubic root of 486906336 is about 786.7108539130.

It can be divided in two parts, 48 and 6906336, that added together give a square (6906384 = 2628²).

The spelling of 486906336 in words is "four hundred eighty-six million, nine hundred six thousand, three hundred thirty-six".