47204320 has 72 divisors (see below), whose sum is σ = 115609032. Its totient is φ = 18213120.

The previous prime is 47204299. The next prime is 47204323. The reversal of 47204320 is 2340274.

It is a junction number, because it is equal to n+sod(n) for n = 47204291 and 47204300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47204323) 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 11 ways as a sum of consecutive naturals, for example, 153607 + ... + 153913.

It is an arithmetic number, because the mean of its divisors is an integer number (1605681).

Almost surely, 2^47204320 is an apocalyptic number.

47204320 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 47204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57804516).

47204320 is an abundant number, since it is smaller than the sum of its proper divisors (68404712).

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

47204320 is a wasteful number, since it uses less digits than its factorization.

47204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 47204320 is about 6870.5400078888. The cubic root of 47204320 is about 361.4047991006.

Adding to 47204320 its reverse (2340274), we get a palindrome (49544594).

It can be divided in two parts, 47204 and 320, that added together give a square (47524 = 218²).

The spelling of 47204320 in words is "forty-seven million, two hundred four thousand, three hundred twenty".