472702320 has 120 divisors (see below), whose sum is σ = 1642305600. Its totient is φ = 121701888.

The previous prime is 472702301. The next prime is 472702327. The reversal of 472702320 is 23207274.

472702320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472702327) 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, 9561 + ... + 32199.

It is an arithmetic number, because the mean of its divisors is an integer number (13685880).

Almost surely, 2^472702320 is an apocalyptic number.

472702320 is a gapful number since it is divisible by the number (40) 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 472702320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821152800).

472702320 is an abundant number, since it is smaller than the sum of its proper divisors (1169603280).

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

472702320 is a wasteful number, since it uses less digits than its factorization.

472702320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22687 (or 22678 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 472702320 is about 21741.7184233446. The cubic root of 472702320 is about 778.9852682404.

Adding to 472702320 its reverse (23207274), we get a palindrome (495909594).

The spelling of 472702320 in words is "four hundred seventy-two million, seven hundred two thousand, three hundred twenty".