49635600 has 240 divisors, whose sum is σ = 191892480. Its totient is φ = 10713600.

The previous prime is 49635571. The next prime is 49635601. The reversal of 49635600 is 653694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49635601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159445 + ... + 159755.

It is an arithmetic number, because the mean of its divisors is an integer number (799552).

Almost surely, 2^49635600 is an apocalyptic number.

49635600 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 49635600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95946240).

49635600 is an abundant number, since it is smaller than the sum of its proper divisors (142256880).

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

49635600 is a wasteful number, since it uses less digits than its factorization.

49635600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 49635600 is about 7045.2537214780. The cubic root of 49635600 is about 367.5059927756.

The spelling of 49635600 in words is "forty-nine million, six hundred thirty-five thousand, six hundred".