48439440 has 180 divisors, whose sum is σ = 189372924. Its totient is φ = 11063808.

The previous prime is 48439439. The next prime is 48439471. The reversal of 48439440 is 4493484.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 11861136 = 6048^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48439395 and 48439404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34594 + ... + 35966.

Almost surely, 2^48439440 is an apocalyptic number.

48439440 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 48439440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94686462).

48439440 is an abundant number, since it is smaller than the sum of its proper divisors (140933484).

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

48439440 is a wasteful number, since it uses less digits than its factorization.

48439440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48439440 is about 6959.8448258564. The cubic root of 48439440 is about 364.5298004956.

The spelling of 48439440 in words is "forty-eight million, four hundred thirty-nine thousand, four hundred forty".