48221440 has 72 divisors (see below), whose sum is σ = 116961768. Its totient is φ = 19046400.

The previous prime is 48221419. The next prime is 48221479. The reversal of 48221440 is 4412284.

48221440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17040384 + 31181056 = 4128^2 + 5584^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 129094 + ... + 129466.

It is an arithmetic number, because the mean of its divisors is an integer number (1624469).

Almost surely, 2^48221440 is an apocalyptic number.

48221440 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 48221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58480884).

48221440 is an abundant number, since it is smaller than the sum of its proper divisors (68740328).

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

48221440 is a wasteful number, since it uses less digits than its factorization.

48221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 48221440 is about 6944.1658966358. The cubic root of 48221440 is about 363.9821268848.

The spelling of 48221440 in words is "forty-eight million, two hundred twenty-one thousand, four hundred forty".