48300960 has 96 divisors (see below), whose sum is σ = 155457792. Its totient is φ = 12600320.

The previous prime is 48300953. The next prime is 48301009. The reversal of 48300960 is 6900384.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 21490 + ... + 23630.

It is an arithmetic number, because the mean of its divisors is an integer number (1619352).

Almost surely, 2^48300960 is an apocalyptic number.

48300960 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 48300960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77728896).

48300960 is an abundant number, since it is smaller than the sum of its proper divisors (107156832).

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

48300960 is a wasteful number, since it uses less digits than its factorization.

48300960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 48300960 is about 6949.8892077500. The cubic root of 48300960 is about 364.1820930080.

The spelling of 48300960 in words is "forty-eight million, three hundred thousand, nine hundred sixty".