49504600 has 48 divisors (see below), whose sum is σ = 116064000. Its totient is φ = 19635840.

The previous prime is 49504591. The next prime is 49504619. The reversal of 49504600 is 640594.

49504600 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 11 ways as a sum of consecutive naturals, for example, 24426 + ... + 26374.

It is an arithmetic number, because the mean of its divisors is an integer number (2418000).

Almost surely, 2^49504600 is an apocalyptic number.

49504600 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 49504600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032000).

49504600 is an abundant number, since it is smaller than the sum of its proper divisors (66559400).

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

49504600 is a wasteful number, since it uses less digits than its factorization.

49504600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 49504600 is about 7035.9505399057. The cubic root of 49504600 is about 367.1823963981.

The spelling of 49504600 in words is "forty-nine million, five hundred four thousand, six hundred".