49575760 has 80 divisors (see below), whose sum is σ = 126023184. Its totient is φ = 18026496.

The previous prime is 49575751. The next prime is 49575793. The reversal of 49575760 is 6757594.

It can be written as a sum of positive squares in 8 ways, for example, as 6594624 + 42981136 = 2568^2 + 6556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75594 + ... + 76246.

Almost surely, 2^49575760 is an apocalyptic number.

49575760 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 49575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63011592).

49575760 is an abundant number, since it is smaller than the sum of its proper divisors (76447424).

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

49575760 is a wasteful number, since it uses less digits than its factorization.

49575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 49575760 is about 7041.0056099963. The cubic root of 49575760 is about 367.3582466545.

The spelling of 49575760 in words is "forty-nine million, five hundred seventy-five thousand, seven hundred sixty".