49648500 has 288 divisors, whose sum is σ = 183980160. Its totient is φ = 11136000.

The previous prime is 49648477. The next prime is 49648507. The reversal of 49648500 is 584694.

49648500 is a `hidden beast` number, since 4 + 9 + 648 + 5 + 0 + 0 = 666.

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 (49648507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 841471 + ... + 841529.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^49648500 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 49648500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91990080).

49648500 is an abundant number, since it is smaller than the sum of its proper divisors (134331660).

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

49648500 is a wasteful number, since it uses less digits than its factorization.

49648500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 49648500 is about 7046.1691719686. The cubic root of 49648500 is about 367.5378275653.

The spelling of 49648500 in words is "forty-nine million, six hundred forty-eight thousand, five hundred".