49380 has 24 divisors (see below), whose sum is σ = 138432. Its totient is φ = 13152.

The previous prime is 49369. The next prime is 49391. The reversal of 49380 is 8394.

It is an interprime number because it is at equal distance from previous prime (49369) and next prime (49391).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 49380.

It is an unprimeable number.

49380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (5768).

2⁴⁹³⁸⁰ is an apocalyptic number.

It is an amenable number.

49380 is an abundant number, since it is smaller than the sum of its proper divisors (89052).

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 (69216).

49380 is a wasteful number, since it uses less digits than its factorization.

49380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 49380 is about 222.2161110271. The cubic root of 49380 is about 36.6874079161.

Subtracting from 49380 its product of nonzero digits (864), we obtain a triangular number (48516 = T₃₁₁).

The spelling of 49380 in words is "forty-nine thousand, three hundred eighty".