49816800 has 432 divisors, whose sum is σ = 208392912. Its totient is φ = 11059200.

The previous prime is 49816799. The next prime is 49816807. The reversal of 49816800 is 861894.

It is a happy number.

49816800 is a `hidden beast` number, since 498 + 168 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49816807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1346382 + ... + 1346418.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^49816800 is an apocalyptic number.

49816800 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 49816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104196456).

49816800 is an abundant number, since it is smaller than the sum of its proper divisors (158576112).

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

49816800 is a wasteful number, since it uses less digits than its factorization.

49816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 49816800 is about 7058.1017278019. The cubic root of 49816800 is about 367.9526561652.

It can be divided in two parts, 4981 and 6800, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 49816800 in words is "forty-nine million, eight hundred sixteen thousand, eight hundred".