49327200 has 432 divisors, whose sum is σ = 204736896. Its totient is φ = 11059200.

The previous prime is 49327189. The next prime is 49327207. The reversal of 49327200 is 272394.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49327207) 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 71 ways as a sum of consecutive naturals, for example, 1591185 + ... + 1591215.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^49327200 is an apocalyptic number.

49327200 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 49327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

49327200 is an abundant number, since it is smaller than the sum of its proper divisors (155409696).

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

49327200 is a wasteful number, since it uses less digits than its factorization.

49327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 49327200 is about 7023.3325423192. The cubic root of 49327200 is about 366.7432714141.

Adding to 49327200 its reverse (272394), we get a palindrome (49599594).

The spelling of 49327200 in words is "forty-nine million, three hundred twenty-seven thousand, two hundred".