49066800 has 120 divisors (see below), whose sum is σ = 162370560. Its totient is φ = 12652800.

The previous prime is 49066789. The next prime is 49066837. The reversal of 49066800 is 866094.

49066800 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 (120).

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, 36541 + ... + 37859.

It is an arithmetic number, because the mean of its divisors is an integer number (1353088).

Almost surely, 2^49066800 is an apocalyptic number.

49066800 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 49066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81185280).

49066800 is an abundant number, since it is smaller than the sum of its proper divisors (113303760).

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

49066800 is a wasteful number, since it uses less digits than its factorization.

49066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 49066800 is about 7004.7698034982. The cubic root of 49066800 is about 366.0967823124.

The spelling of 49066800 in words is "forty-nine million, sixty-six thousand, eight hundred".