49118800 has 120 divisors (see below), whose sum is σ = 130080960. Its totient is φ = 17740800.

The previous prime is 49118791. The next prime is 49118801. The reversal of 49118800 is 881194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49118801) 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, 174660 + ... + 174940.

It is an arithmetic number, because the mean of its divisors is an integer number (1084008).

Almost surely, 2^49118800 is an apocalyptic number.

49118800 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 49118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65040480).

49118800 is an abundant number, since it is smaller than the sum of its proper divisors (80962160).

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

49118800 is a wasteful number, since it uses less digits than its factorization.

49118800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 49118800 is about 7008.4805771294. The cubic root of 49118800 is about 366.2260639694.

Adding to 49118800 its reverse (881194), we get a palindrome (49999994).

It can be divided in two parts, 491 and 18800, that added together give a palindrome (19291).

The spelling of 49118800 in words is "forty-nine million, one hundred eighteen thousand, eight hundred".