49946800 has 120 divisors (see below), whose sum is σ = 128697120. Its totient is φ = 18585600.

The previous prime is 49946783. The next prime is 49946873. The reversal of 49946800 is 864994.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 561156 + ... + 561244.

It is an arithmetic number, because the mean of its divisors is an integer number (1072476).

Almost surely, 2^49946800 is an apocalyptic number.

49946800 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 49946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64348560).

49946800 is an abundant number, since it is smaller than the sum of its proper divisors (78750320).

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

49946800 is a wasteful number, since it uses less digits than its factorization.

49946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 49946800 is about 7067.3050026159. The cubic root of 49946800 is about 368.2724431786.

The spelling of 49946800 in words is "forty-nine million, nine hundred forty-six thousand, eight hundred".