473643648 has 96 divisors (see below), whose sum is σ = 1368312660. Its totient is φ = 157261824.

The previous prime is 473643619. The next prime is 473643649. The reversal of 473643648 is 846346374.

It can be written as a sum of positive squares in 2 ways, for example, as 469675584 + 3968064 = 21672^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (473643649) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 364536 + ... + 365832.

Almost surely, 2^473643648 is an apocalyptic number.

473643648 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 473643648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684156330).

473643648 is an abundant number, since it is smaller than the sum of its proper divisors (894669012).

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

473643648 is a wasteful number, since it uses less digits than its factorization.

473643648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1619 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 473643648 is about 21763.3556236165. The cubic root of 473643648 is about 779.5020095422.

It can be divided in two parts, 4736 and 43648, that added together give a palindrome (48384).

The spelling of 473643648 in words is "four hundred seventy-three million, six hundred forty-three thousand, six hundred forty-eight".