49803600 has 360 divisors, whose sum is σ = 204500800. Its totient is φ = 10348800.

The previous prime is 49803571. The next prime is 49803613. The reversal of 49803600 is 630894.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4527595 + ... + 4527605.

Almost surely, 2^49803600 is an apocalyptic number.

49803600 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 49803600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102250400).

49803600 is an abundant number, since it is smaller than the sum of its proper divisors (154697200).

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

49803600 is a wasteful number, since it uses less digits than its factorization.

49803600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 49803600 is about 7057.1665702320. The cubic root of 49803600 is about 367.9201543846.

It can be divided in two parts, 49803 and 600, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 49803600 in words is "forty-nine million, eight hundred three thousand, six hundred".