49320 has 48 divisors (see below), whose sum is σ = 161460. Its totient is φ = 13056.

The previous prime is 49307. The next prime is 49331. The reversal of 49320 is 2394.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 36 = 222^2 + 6^2 .

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 49293 and 49302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49320.

It is an unprimeable number.

49320 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 11 ways as a sum of consecutive naturals, for example, 292 + ... + 428.

2⁴⁹³²⁰ is an apocalyptic number.

49320 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 49320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80730).

49320 is an abundant number, since it is smaller than the sum of its proper divisors (112140).

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

49320 is a wasteful number, since it uses less digits than its factorization.

49320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 49320 is about 222.0810662799. The cubic root of 49320 is about 36.6725426763.

The spelling of 49320 in words is "forty-nine thousand, three hundred twenty".