49405200 has 120 divisors (see below), whose sum is σ = 170489088. Its totient is φ = 12157440.

The previous prime is 49405177. The next prime is 49405207. The reversal of 49405200 is 250494.

49405200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (49405207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14017 + ... + 17183.

Almost surely, 2^49405200 is an apocalyptic number.

49405200 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 49405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85244544).

49405200 is an abundant number, since it is smaller than the sum of its proper divisors (121083888).

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

49405200 is a wasteful number, since it uses less digits than its factorization.

49405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3190 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 49405200 is about 7028.8832683436. The cubic root of 49405200 is about 366.9364772614.

Adding to 49405200 its reverse (250494), we get a palindrome (49655694).

The spelling of 49405200 in words is "forty-nine million, four hundred five thousand, two hundred".