49600800 has 162 divisors, whose sum is σ = 177037497. Its totient is φ = 13067520.

The previous prime is 49600753. The next prime is 49600829. The reversal of 49600800 is 800694.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 48608784 + 992016 = 6972^2 + 996^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4980.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 597559 + ... + 597641.

Almost surely, 2^49600800 is an apocalyptic number.

49600800 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 49600800

49600800 is an abundant number, since it is smaller than the sum of its proper divisors (127436697).

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

49600800 is a wasteful number, since it uses less digits than its factorization.

49600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49600800 is about 7042.7835406180. The cubic root of 49600800 is about 367.4200853584.

The spelling of 49600800 in words is "forty-nine million, six hundred thousand, eight hundred".