49538880 has 168 divisors, whose sum is σ = 173077632. Its totient is φ = 13003776.

The previous prime is 49538869. The next prime is 49538887. The reversal of 49538880 is 8883594.

49538880 is a `hidden beast` number, since 495 + 3 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49538887) 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, 296557 + ... + 296723.

It is an arithmetic number, because the mean of its divisors is an integer number (1030224).

Almost surely, 2^49538880 is an apocalyptic number.

49538880 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 49538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86538816).

49538880 is an abundant number, since it is smaller than the sum of its proper divisors (123538752).

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

49538880 is a wasteful number, since it uses less digits than its factorization.

49538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 49538880 is about 7038.3861786634. The cubic root of 49538880 is about 367.2671299940.

The spelling of 49538880 in words is "forty-nine million, five hundred thirty-eight thousand, eight hundred eighty".