49744800 has 432 divisors, whose sum is σ = 213736320. Its totient is φ = 11128320.

The previous prime is 49744789. The next prime is 49744813. The reversal of 49744800 is 844794.

49744800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 1058377 + ... + 1058423.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^49744800 is an apocalyptic number.

49744800 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 49744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

49744800 is an abundant number, since it is smaller than the sum of its proper divisors (163991520).

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

49744800 is a wasteful number, since it uses less digits than its factorization.

49744800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 49744800 is about 7052.9993619736. Note that the first 3 decimals coincide. The cubic root of 49744800 is about 367.7753039152.

The spelling of 49744800 in words is "forty-nine million, seven hundred forty-four thousand, eight hundred".