48152160 has 288 divisors, whose sum is σ = 199547712. Its totient is φ = 10321920.

The previous prime is 48152147. The next prime is 48152161. The reversal of 48152160 is 6125184.

48152160 is a `hidden beast` number, since 4 + 81 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48152161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171220 + ... + 171500.

It is an arithmetic number, because the mean of its divisors is an integer number (692874).

Almost surely, 2^48152160 is an apocalyptic number.

48152160 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 48152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99773856).

48152160 is an abundant number, since it is smaller than the sum of its proper divisors (151395552).

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

48152160 is a wasteful number, since it uses less digits than its factorization.

48152160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 48152160 is about 6939.1757435592. The cubic root of 48152160 is about 363.8077316523.

The spelling of 48152160 in words is "forty-eight million, one hundred fifty-two thousand, one hundred sixty".