49000 has 48 divisors (see below), whose sum is σ = 133380. Its totient is φ = 16800.

The previous prime is 48991. The next prime is 49003. The reversal of 49000 is 94.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 33124 + 15876 = 182^2 + 126^2 .

It is not an unprimeable number, because it can be changed into a prime (49003) by changing a digit.

49000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6997 + ... + 7003.

2⁴⁹⁰⁰⁰ is an apocalyptic number.

49000 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 49000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66690).

49000 is an abundant number, since it is smaller than the sum of its proper divisors (84380).

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

49000 is a wasteful number, since it uses less digits than its factorization.

49000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 49000 is about 221.3594362118. The cubic root of 49000 is about 36.5930571002.

Adding to 49000 its reverse (94), we get a palindrome (49094).

The spelling of 49000 in words is "forty-nine thousand".