49314600 has 72 divisors (see below), whose sum is σ = 165620910. Its totient is φ = 13150080.

The previous prime is 49314527. The next prime is 49314607. The reversal of 49314600 is 641394.

49314600 is a `hidden beast` number, since 49 + 3 + 14 + 600 = 666.

49314600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 40985604 + 8328996 = 6402^2 + 2886^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (49314607) 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 17 ways as a sum of consecutive naturals, for example, 11899 + ... + 15498.

Almost surely, 2^49314600 is an apocalyptic number.

49314600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49314600 is an abundant number, since it is smaller than the sum of its proper divisors (116306310).

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

49314600 is a wasteful number, since it uses less digits than its factorization.

49314600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27419 (or 27407 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 49314600 is about 7022.4354749617. The cubic root of 49314600 is about 366.7120421347.

Adding to 49314600 its reverse (641394), we get a palindrome (49955994).

The spelling of 49314600 in words is "forty-nine million, three hundred fourteen thousand, six hundred".