49183200 has 432 divisors, whose sum is σ = 204736896. Its totient is φ = 11404800.

The previous prime is 49183187. The next prime is 49183207. The reversal of 49183200 is 238194.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49183207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2138389 + ... + 2138411.

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

Almost surely, 2^49183200 is an apocalyptic number.

49183200 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 49183200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448).

49183200 is an abundant number, since it is smaller than the sum of its proper divisors (155553696).

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

49183200 is a wasteful number, since it uses less digits than its factorization.

49183200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49183200 is about 7013.0735059601. The cubic root of 49183200 is about 366.3860479168.

It can be divided in two parts, 4918 and 3200, that added together give a palindrome (8118).

The spelling of 49183200 in words is "forty-nine million, one hundred eighty-three thousand, two hundred".