49000800 has 144 divisors (see below), whose sum is σ = 169020432. Its totient is φ = 12288000.

The previous prime is 49000789. The next prime is 49000813. The reversal of 49000800 is 800094.

49000800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is a congruent number.

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, 40200 + ... + 41400.

It is an arithmetic number, because the mean of its divisors is an integer number (1173753).

Almost surely, 2^49000800 is an apocalyptic number.

49000800 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 49000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84510216).

49000800 is an abundant number, since it is smaller than the sum of its proper divisors (120019632).

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

49000800 is a wasteful number, since it uses less digits than its factorization.

49000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 49000800 is about 7000.0571426239. The cubic root of 49000800 is about 365.9325624503.

Adding to 49000800 its reverse (800094), we get a palindrome (49800894).

The spelling of 49000800 in words is "forty-nine million, eight hundred", and thus it is an aban number.