49507200 has 240 divisors, whose sum is σ = 183648960. Its totient is φ = 13132800.

The previous prime is 49507193. The next prime is 49507207. The reversal of 49507200 is 270594.

49507200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49507193) and next prime (49507207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49507207) 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 29 ways as a sum of consecutive naturals, for example, 259105 + ... + 259295.

It is an arithmetic number, because the mean of its divisors is an integer number (765204).

Almost surely, 2^49507200 is an apocalyptic number.

49507200 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 49507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91824480).

49507200 is an abundant number, since it is smaller than the sum of its proper divisors (134141760).

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

49507200 is a wasteful number, since it uses less digits than its factorization.

49507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 49507200 is about 7036.1353028491. The cubic root of 49507200 is about 367.1888244709.

Adding to 49507200 its reverse (270594), we get a palindrome (49777794).

The spelling of 49507200 in words is "forty-nine million, five hundred seven thousand, two hundred".