49364 has 24 divisors (see below), whose sum is σ = 103488. Its totient is φ = 20160.

The previous prime is 49363. The next prime is 49367. The reversal of 49364 is 46394.

It is a d-powerful number, because it can be written as 4⁴ + 9 + 3⁷ + 6⁶ + 4⁴ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127 + ... + 1169.

It is an arithmetic number, because the mean of its divisors is an integer number (4312).

2⁴⁹³⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51744).

49364 is an abundant number, since it is smaller than the sum of its proper divisors (54124).

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

49364 is a wasteful number, since it uses less digits than its factorization.

49364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 49364 is about 222.1801071203. The cubic root of 49364 is about 36.6834450301.

The spelling of 49364 in words is "forty-nine thousand, three hundred sixty-four".