49200 has 60 divisors (see below), whose sum is σ = 161448. Its totient is φ = 12800.

The previous prime is 49199. The next prime is 49201. The reversal of 49200 is 294.

It is an interprime number because it is at equal distance from previous prime (49199) and next prime (49201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (15) 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 (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 49200.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49200.

It is not an unprimeable number, because it can be changed into a prime (49201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180 + ... + 1220.

2⁴⁹²⁰⁰ is an apocalyptic number.

49200 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 49200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80724).

49200 is an abundant number, since it is smaller than the sum of its proper divisors (112248).

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

49200 is a wasteful number, since it uses less digits than its factorization.

49200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 49200 is about 221.8107301282. The cubic root of 49200 is about 36.6427759890.

Adding to 49200 its reverse (294), we get a palindrome (49494).

The spelling of 49200 in words is "forty-nine thousand, two hundred".