49855600 has 60 divisors (see below), whose sum is σ = 120947616. Its totient is φ = 19747840.

The previous prime is 49855583. The next prime is 49855607. The reversal of 49855600 is 655894.

It is a self number, because there is not a number n which added to its sum of digits gives 49855600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49855607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44649 + ... + 45751.

Almost surely, 2^49855600 is an apocalyptic number.

49855600 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 49855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60473808).

49855600 is an abundant number, since it is smaller than the sum of its proper divisors (71092016).

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

49855600 is a wasteful number, since it uses less digits than its factorization.

49855600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 49855600 is about 7060.8498072116. The cubic root of 49855600 is about 368.0481584738.

It can be divided in two parts, 4985 and 5600, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 49855600 in words is "forty-nine million, eight hundred fifty-five thousand, six hundred".