49585500 has 96 divisors (see below), whose sum is σ = 160480320. Its totient is φ = 13219200.

The previous prime is 49585463. The next prime is 49585507. The reversal of 49585500 is 558594.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49585507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11664 + ... + 15336.

It is an arithmetic number, because the mean of its divisors is an integer number (1671670).

Almost surely, 2^49585500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49585500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80240160).

49585500 is an abundant number, since it is smaller than the sum of its proper divisors (110894820).

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

49585500 is a wasteful number, since it uses less digits than its factorization.

49585500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 49585500 is about 7041.6972385924. The cubic root of 49585500 is about 367.3823030013.

The spelling of 49585500 in words is "forty-nine million, five hundred eighty-five thousand, five hundred".