49300 has 36 divisors (see below), whose sum is σ = 117180. Its totient is φ = 17920.

The previous prime is 49297. The next prime is 49307. The reversal of 49300 is 394.

49300 = T₁₇ + T₁₈ + ... + T₆₆.

It can be written as a sum of positive squares in 6 ways, for example, as 16 + 49284 = 4^2 + 222^2 .

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49300.

It is not an unprimeable number, because it can be changed into a prime (49307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1686 + ... + 1714.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2⁴⁹³⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58590).

49300 is an abundant number, since it is smaller than the sum of its proper divisors (67880).

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

49300 is a wasteful number, since it uses less digits than its factorization.

49300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 49300 is about 222.0360331117. The cubic root of 49300 is about 36.6675849173.

Subtracting from 49300 its sum of digits (16), we obtain a square (49284 = 222²).

Adding to 49300 its reverse (394), we get a palindrome (49694).

The spelling of 49300 in words is "forty-nine thousand, three hundred".