48189440 has 104 divisors (see below), whose sum is σ = 125224008. Its totient is φ = 17694720.

The previous prime is 48189437. The next prime is 48189457. The reversal of 48189440 is 4498184.

It can be written as a sum of positive squares in 4 ways, for example, as 2166784 + 46022656 = 1472^2 + 6784^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 48189394 and 48189403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266150 + ... + 266330.

It is an arithmetic number, because the mean of its divisors is an integer number (1204077).

Almost surely, 2^48189440 is an apocalyptic number.

48189440 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 48189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62612004).

48189440 is an abundant number, since it is smaller than the sum of its proper divisors (77034568).

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

48189440 is a wasteful number, since it uses less digits than its factorization.

48189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 48189440 is about 6941.8614218378. The cubic root of 48189440 is about 363.9015955869.

The spelling of 48189440 in words is "forty-eight million, one hundred eighty-nine thousand, four hundred forty".