49999200 has 144 divisors (see below), whose sum is σ = 165364416. Its totient is φ = 13120000.

The previous prime is 49999177. The next prime is 49999207. The reversal of 49999200 is 299994.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49999207) 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, 199075 + ... + 199325.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 2^49999200 is an apocalyptic number.

49999200 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 49999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82682208).

49999200 is an abundant number, since it is smaller than the sum of its proper divisors (115365216).

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

49999200 is a wasteful number, since it uses less digits than its factorization.

49999200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 49999200 is about 7071.0112430967. The cubic root of 49999200 is about 368.4011850368.

It can be divided in two parts, 499 and 99200, that added together give a palindrome (99699).

The spelling of 49999200 in words is "forty-nine million, nine hundred ninety-nine thousand, two hundred".