49830 has 32 divisors (see below), whose sum is σ = 131328. Its totient is φ = 12000.

The previous prime is 49823. The next prime is 49831. The reversal of 49830 is 3894.

49830 = T₁₂ + T₁₃ + ... + T₆₆.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 49830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255 + ... + 405.

It is an arithmetic number, because the mean of its divisors is an integer number (4104).

2⁴⁹⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664).

49830 is an abundant number, since it is smaller than the sum of its proper divisors (81498).

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

49830 is a wasteful number, since it uses less digits than its factorization.

49830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49830 is about 223.2263425315. The cubic root of 49830 is about 36.7985152205.

It can be divided in two parts, 498 and 30, that added together give a triangular number (528 = T₃₂).

The spelling of 49830 in words is "forty-nine thousand, eight hundred thirty".