49345600 has 42 divisors (see below), whose sum is σ = 121424954. Its totient is φ = 19737600.

The previous prime is 49345589. The next prime is 49345601. The reversal of 49345600 is 654394.

It can be written as a sum of positive squares in 3 ways, for example, as 7974976 + 41370624 = 2824^2 + 6432^2 .

It is not an unprimeable number, because it can be changed into a prime (49345601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13821 + ... + 17020.

Almost surely, 2^49345600 is an apocalyptic number.

49345600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49345600 is an abundant number, since it is smaller than the sum of its proper divisors (72079354).

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

49345600 is a wasteful number, since it uses less digits than its factorization.

49345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30863 (or 30848 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 49345600 is about 7024.6423396498. The cubic root of 49345600 is about 366.7888665240.

Adding to 49345600 its reverse (654394), we get a palindrome (49999994).

The spelling of 49345600 in words is "forty-nine million, three hundred forty-five thousand, six hundred".