473886336 has 384 divisors, whose sum is σ = 1666990080. Its totient is φ = 116582400.

The previous prime is 473886331. The next prime is 473886379. The reversal of 473886336 is 633688374.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (473886331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10082665 + ... + 10082711.

It is an arithmetic number, because the mean of its divisors is an integer number (4341120).

Almost surely, 2^473886336 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 473886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833495040).

473886336 is an abundant number, since it is smaller than the sum of its proper divisors (1193103744).

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

473886336 is a wasteful number, since it uses less digits than its factorization.

473886336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 473886336 is about 21768.9305203540. The cubic root of 473886336 is about 779.6351219101.

The spelling of 473886336 in words is "four hundred seventy-three million, eight hundred eighty-six thousand, three hundred thirty-six".