48240960 has 112 divisors (see below), whose sum is σ = 158203392. Its totient is φ = 12441600.

The previous prime is 48240947. The next prime is 48241001. The reversal of 48240960 is 6904284.

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, 28950 + ... + 30570.

Almost surely, 2^48240960 is an apocalyptic number.

48240960 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 48240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79101696).

48240960 is an abundant number, since it is smaller than the sum of its proper divisors (109962432).

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

48240960 is a wasteful number, since it uses less digits than its factorization.

48240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48240960 is about 6945.5712508044. The cubic root of 48240960 is about 364.0312334830.

The spelling of 48240960 in words is "forty-eight million, two hundred forty thousand, nine hundred sixty".