48242880 has 168 divisors, whose sum is σ = 189719712. Its totient is φ = 11022336.

The previous prime is 48242849. The next prime is 48242897. The reversal of 48242880 is 8824284.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

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, 18964 + ... + 21356.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 2^48242880 is an apocalyptic number.

48242880 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 48242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94859856).

48242880 is an abundant number, since it is smaller than the sum of its proper divisors (141476832).

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

48242880 is a wasteful number, since it uses less digits than its factorization.

48242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48242880 is about 6945.7094670019. The cubic root of 48242880 is about 364.0360629246.

The spelling of 48242880 in words is "forty-eight million, two hundred forty-two thousand, eight hundred eighty".