49834800 has 180 divisors, whose sum is σ = 175901440. Its totient is φ = 13063680.

The previous prime is 49834781. The next prime is 49834831. The reversal of 49834800 is 843894.

49834800 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 (180).

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 35 ways as a sum of consecutive naturals, for example, 392337 + ... + 392463.

Almost surely, 2^49834800 is an apocalyptic number.

49834800 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 49834800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87950720).

49834800 is an abundant number, since it is smaller than the sum of its proper divisors (126066640).

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

49834800 is a wasteful number, since it uses less digits than its factorization.

49834800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 49834800 is about 7059.3767430277. The cubic root of 49834800 is about 367.9969675238.

The spelling of 49834800 in words is "forty-nine million, eight hundred thirty-four thousand, eight hundred".