49741200 has 180 divisors, whose sum is σ = 177350628. Its totient is φ = 12902400.

The previous prime is 49741199. The next prime is 49741213. The reversal of 49741200 is 214794.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 13307904 + 36433296 = 3648^2 + 6036^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147432 + ... + 147768.

Almost surely, 2^49741200 is an apocalyptic number.

49741200 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 49741200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88675314).

49741200 is an abundant number, since it is smaller than the sum of its proper divisors (127609428).

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

49741200 is a wasteful number, since it uses less digits than its factorization.

49741200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 49741200 is about 7052.7441467843. The cubic root of 49741200 is about 367.7664318117.

Adding to 49741200 its reverse (214794), we get a palindrome (49955994).

The spelling of 49741200 in words is "forty-nine million, seven hundred forty-one thousand, two hundred".