473993568 has 144 divisors (see below), whose sum is σ = 1418376960. Its totient is φ = 149859072.

The previous prime is 473993561. The next prime is 473993593. The reversal of 473993568 is 865399374.

473993568 is a `hidden beast` number, since 4 + 73 + 9 + 9 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (4898880) is a multiple of the sum of its prime divisors (630).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473993561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1079493 + ... + 1079931.

It is an arithmetic number, because the mean of its divisors is an integer number (9849840).

Almost surely, 2^473993568 is an apocalyptic number.

473993568 is a gapful number since it is divisible by the number (48) 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 473993568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709188480).

473993568 is an abundant number, since it is smaller than the sum of its proper divisors (944383392).

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

473993568 is a wasteful number, since it uses less digits than its factorization.

473993568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 473993568 is about 21771.3933408039. The cubic root of 473993568 is about 779.6939233019.

The spelling of 473993568 in words is "four hundred seventy-three million, nine hundred ninety-three thousand, five hundred sixty-eight".