49120 has 24 divisors (see below), whose sum is σ = 116424. Its totient is φ = 19584.

The previous prime is 49117. The next prime is 49121. The reversal of 49120 is 2194.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 49094 and 49103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49120.

It is not an unprimeable number, because it can be changed into a prime (49121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (4851).

2⁴⁹¹²⁰ is an apocalyptic number.

49120 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 49120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212).

49120 is an abundant number, since it is smaller than the sum of its proper divisors (67304).

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

49120 is a wasteful number, since it uses less digits than its factorization.

49120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 49120 is about 221.6303228351. The cubic root of 49120 is about 36.6229046315.

It can be divided in two parts, 49 and 120, that added together give a square (169 = 13²).

The spelling of 49120 in words is "forty-nine thousand, one hundred twenty".