49450800 has 270 divisors, whose sum is σ = 190843068. Its totient is φ = 10913280.

The previous prime is 49450781. The next prime is 49450811. The reversal of 49450800 is 805494.

49450800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 53 ways as a sum of consecutive naturals, for example, 1705186 + ... + 1705214.

Almost surely, 2^49450800 is an apocalyptic number.

49450800 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 49450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95421534).

49450800 is an abundant number, since it is smaller than the sum of its proper divisors (141392268).

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

49450800 is a wasteful number, since it uses less digits than its factorization.

49450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 49450800 is about 7032.1262787296. The cubic root of 49450800 is about 367.0493341951.

The spelling of 49450800 in words is "forty-nine million, four hundred fifty thousand, eight hundred".