49843200 has 264 divisors, whose sum is σ = 182756160. Its totient is φ = 11878400.

The previous prime is 49843177. The next prime is 49843271. The reversal of 49843200 is 234894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 844771 + ... + 844829.

Almost surely, 2^49843200 is an apocalyptic number.

49843200 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 49843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91378080).

49843200 is an abundant number, since it is smaller than the sum of its proper divisors (132912960).

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

49843200 is a wasteful number, since it uses less digits than its factorization.

49843200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 49843200 is about 7059.9716713313. The cubic root of 49843200 is about 368.0176425064.

The spelling of 49843200 in words is "forty-nine million, eight hundred forty-three thousand, two hundred".