48882960 has 320 divisors, whose sum is σ = 199272960. Its totient is φ = 10782720.

The previous prime is 48882941. The next prime is 48882971. The reversal of 48882960 is 6928884.

It is a happy number.

48882960 is a `hidden beast` number, since 488 + 82 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801330 + ... + 801390.

It is an arithmetic number, because the mean of its divisors is an integer number (622728).

Almost surely, 2^48882960 is an apocalyptic number.

48882960 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 48882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99636480).

48882960 is an abundant number, since it is smaller than the sum of its proper divisors (150390000).

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

48882960 is a wasteful number, since it uses less digits than its factorization.

48882960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 48882960 is about 6991.6350019148. The cubic root of 48882960 is about 365.6389882880.

The spelling of 48882960 in words is "forty-eight million, eight hundred eighty-two thousand, nine hundred sixty".