48252960 has 144 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 11026944.

The previous prime is 48252959. The next prime is 48252961. The reversal of 48252960 is 6925284.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48252959) and next prime (48252961).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48252961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7687 + ... + 12473.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^48252960 is an apocalyptic number.

48252960 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 48252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

48252960 is an abundant number, since it is smaller than the sum of its proper divisors (139972896).

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

48252960 is a wasteful number, since it uses less digits than its factorization.

48252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48252960 is about 6946.4350569195. The cubic root of 48252960 is about 364.0614153909.

The spelling of 48252960 in words is "forty-eight million, two hundred fifty-two thousand, nine hundred sixty".