49504 has 48 divisors (see below), whose sum is σ = 127008. Its totient is φ = 18432.

The previous prime is 49499. The next prime is 49523. The reversal of 49504 is 40594.

49504 = T₇₇ + T₇₈ + ... + T₉₀.

It is a congruent number.

It is an unprimeable number.

49504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2904 + ... + 2920.

It is an arithmetic number, because the mean of its divisors is an integer number (2646).

2⁴⁹⁵⁰⁴ 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 49504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63504).

49504 is an abundant number, since it is smaller than the sum of its proper divisors (77504).

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

49504 is a wasteful number, since it uses less digits than its factorization.

49504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 49504 is about 222.4949437628. The cubic root of 49504 is about 36.7180912965.

Subtracting from 49504 its product of nonzero digits (720), we obtain a palindrome (48784).

The spelling of 49504 in words is "forty-nine thousand, five hundred four".