48978720 has 288 divisors, whose sum is σ = 197188992. Its totient is φ = 10838016.

The previous prime is 48978701. The next prime is 48978737. The reversal of 48978720 is 2787984.

48978720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433384 + ... + 433496.

It is an arithmetic number, because the mean of its divisors is an integer number (684684).

Almost surely, 2^48978720 is an apocalyptic number.

48978720 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 48978720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98594496).

48978720 is an abundant number, since it is smaller than the sum of its proper divisors (148210272).

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

48978720 is a wasteful number, since it uses less digits than its factorization.

48978720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 48978720 is about 6998.4798349356. The cubic root of 48978720 is about 365.8775905255.

The spelling of 48978720 in words is "forty-eight million, nine hundred seventy-eight thousand, seven hundred twenty".