49104 has 60 divisors (see below), whose sum is σ = 154752. Its totient is φ = 14400.

The previous prime is 49103. The next prime is 49109. The reversal of 49104 is 40194.

It is a super-2 number, since 2×49104² = 4822405632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1569 + ... + 1599.

2⁴⁹¹⁰⁴ is an apocalyptic number.

49104 is a gapful number since it is divisible by the number (44) 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 49104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77376).

49104 is an abundant number, since it is smaller than the sum of its proper divisors (105648).

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

49104 is a wasteful number, since it uses less digits than its factorization.

49104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 49104 is about 221.5942237514. The cubic root of 49104 is about 36.6189277714.

Adding to 49104 its reverse (40194), we get a palindrome (89298).

It can be divided in two parts, 49 and 104, that added together give a triangular number (153 = T₁₇).

The spelling of 49104 in words is "forty-nine thousand, one hundred four".