473986656 has 288 divisors, whose sum is σ = 1679172768. Its totient is φ = 124600320.

The previous prime is 473986633. The next prime is 473986657. The reversal of 473986656 is 656689374.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473986657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 699790 + ... + 700466.

It is an arithmetic number, because the mean of its divisors is an integer number (5830461).

Almost surely, 2^473986656 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 473986656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839586384).

473986656 is an abundant number, since it is smaller than the sum of its proper divisors (1205186112).

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

473986656 is a wasteful number, since it uses less digits than its factorization.

473986656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 473986656 is about 21771.2345998108. The cubic root of 473986656 is about 779.6901333274.

The spelling of 473986656 in words is "four hundred seventy-three million, nine hundred eighty-six thousand, six hundred fifty-six".