49758900 has 72 divisors (see below), whose sum is σ = 147073920. Its totient is φ = 12983040.

The previous prime is 49758883. The next prime is 49758901. The reversal of 49758900 is 985794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49758901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12336 + ... + 15864.

Almost surely, 2^49758900 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 49758900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73536960).

49758900 is an abundant number, since it is smaller than the sum of its proper divisors (97315020).

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

49758900 is a wasteful number, since it uses less digits than its factorization.

49758900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 49758900 is about 7053.9988658916. The cubic root of 49758900 is about 367.8100488662.

The spelling of 49758900 in words is "forty-nine million, seven hundred fifty-eight thousand, nine hundred".