48205440 has 96 divisors (see below), whose sum is σ = 166479300. Its totient is φ = 12853248.

The previous prime is 48205439. The next prime is 48205441. The reversal of 48205440 is 4450284.

48205440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48205439) and next prime (48205441).

It can be written as a sum of positive squares in 2 ways, for example, as 48108096 + 97344 = 6936^2 + 312^2 .

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

It is not an unprimeable number, because it can be changed into a prime (48205441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1576 + ... + 9944.

Almost surely, 2^48205440 is an apocalyptic number.

48205440 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 48205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83239650).

48205440 is an abundant number, since it is smaller than the sum of its proper divisors (118273860).

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

48205440 is a wasteful number, since it uses less digits than its factorization.

48205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 48205440 is about 6943.0137548474. The cubic root of 48205440 is about 363.9418656907.

The spelling of 48205440 in words is "forty-eight million, two hundred five thousand, four hundred forty".