48849 has 8 divisors (see below), whose sum is σ = 68640. Its totient is φ = 30816.

The previous prime is 48847. The next prime is 48857. The reversal of 48849 is 94884.

48849 = T₆₂ + T₆₃ + ... + T₈₀.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 48849 - 2¹ = 48847 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

48849 is a lucky number.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (48847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

2⁴⁸⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

48849 is a deficient number, since it is larger than the sum of its proper divisors (19791).

48849 is a wasteful number, since it uses less digits than its factorization.

48849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879.

The product of its digits is 9216, while the sum is 33.

The square root of 48849 is about 221.0180988064. The cubic root of 48849 is about 36.5554296358. Note that the first 3 decimals are identical.

It can be divided in two parts, 4884 and 9, that multiplied together give a triangular number (43956 = T₂₉₆).

The spelling of 48849 in words is "forty-eight thousand, eight hundred forty-nine".