48221680 has 80 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 17639424.

The previous prime is 48221633. The next prime is 48221687. The reversal of 48221680 is 8612284.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48221687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206844 + ... + 207076.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^48221680 is an apocalyptic number.

48221680 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 48221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

48221680 is an abundant number, since it is smaller than the sum of its proper divisors (73645520).

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

48221680 is a wasteful number, since it uses less digits than its factorization.

48221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 48221680 is about 6944.1831773075. The cubic root of 48221680 is about 363.9827307349.

The spelling of 48221680 in words is "forty-eight million, two hundred twenty-one thousand, six hundred eighty".