48538160 has 80 divisors (see below), whose sum is σ = 129634560. Its totient is φ = 16715520.

The previous prime is 48538109. The next prime is 48538183. The reversal of 48538160 is 6183584.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48538160.

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, 15269 + ... + 18171.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^48538160 is an apocalyptic number.

48538160 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 48538160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64817280).

48538160 is an abundant number, since it is smaller than the sum of its proper divisors (81096400).

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

48538160 is a wasteful number, since it uses less digits than its factorization.

48538160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 48538160 is about 6966.9333282299. The cubic root of 48538160 is about 364.7772707573. Note that the first 3 decimals are identical.

The spelling of 48538160 in words is "forty-eight million, five hundred thirty-eight thousand, one hundred sixty".