49488 has 20 divisors (see below), whose sum is σ = 127968. Its totient is φ = 16480.

The previous prime is 49481. The next prime is 49499. The reversal of 49488 is 88494.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49481) 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 3 ways as a sum of consecutive naturals, for example, 468 + ... + 563.

2⁴⁹⁴⁸⁸ is an apocalyptic number.

49488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

49488 is an abundant number, since it is smaller than the sum of its proper divisors (78480).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63984).

49488 is a wasteful number, since it uses less digits than its factorization.

49488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1036 counting only the distinct ones).

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

The square root of 49488 is about 222.4589849837. The cubic root of 49488 is about 36.7141350319.

Subtracting from 49488 its sum of digits (33), we obtain a triangular number (49455 = T₃₁₄).

The spelling of 49488 in words is "forty-nine thousand, four hundred eighty-eight".