49727600 has 120 divisors (see below), whose sum is σ = 131418672. Its totient is φ = 17971200.

The previous prime is 49727599. The next prime is 49727611. The reversal of 49727600 is 672794.

49727600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 379535 + ... + 379665.

Almost surely, 2^49727600 is an apocalyptic number.

49727600 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 49727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65709336).

49727600 is an abundant number, since it is smaller than the sum of its proper divisors (81691072).

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

49727600 is a wasteful number, since it uses less digits than its factorization.

49727600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 49727600 is about 7051.7799171557. The cubic root of 49727600 is about 367.7329111127.

The spelling of 49727600 in words is "forty-nine million, seven hundred twenty-seven thousand, six hundred".