49518400 has 42 divisors (see below), whose sum is σ = 121850150. Its totient is φ = 19806720.

The previous prime is 49518323. The next prime is 49518419. The reversal of 49518400 is 481594.

It is a happy number.

49518400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 13133376 + 36385024 = 3624^2 + 6032^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13875 + ... + 17074.

Almost surely, 2^49518400 is an apocalyptic number.

49518400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49518400 is an abundant number, since it is smaller than the sum of its proper divisors (72331750).

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

49518400 is a wasteful number, since it uses less digits than its factorization.

49518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30971 (or 30956 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 49518400 is about 7036.9311493008. The cubic root of 49518400 is about 367.2165120580.

Adding to 49518400 its reverse (481594), we get a palindrome (49999994).

It can be divided in two parts, 49 and 518400, that multiplied together give a square (25401600 = 5040²).

The spelling of 49518400 in words is "forty-nine million, five hundred eighteen thousand, four hundred".