49302 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 14760.

The previous prime is 49297. The next prime is 49307. The reversal of 49302 is 20394.

Added to its reverse (20394) it gives a square (69696 = 264²).

It is an interprime number because it is at equal distance from previous prime (49297) and next prime (49307).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49307) by changing a digit.

49302 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 15 ways as a sum of consecutive naturals, for example, 553 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁴⁹³⁰² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

49302 is an abundant number, since it is smaller than the sum of its proper divisors (71658).

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

49302 is a wasteful number, since it uses less digits than its factorization.

49302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

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

The square root of 49302 is about 222.0405368396. The cubic root of 49302 is about 36.6680807535.

Subtracting from 49302 its sum of digits (18), we obtain a square (49284 = 222²).

Adding to 49302 its reverse (20394), we get a palindrome (69696).

It can be divided in two parts, 49 and 302, that added together give a triangular number (351 = T₂₆).

The spelling of 49302 in words is "forty-nine thousand, three hundred two".