39245440 has 128 divisors (see below), whose sum is σ = 104101200. Its totient is φ = 14057472.

The previous prime is 39245417. The next prime is 39245441. The reversal of 39245440 is 4454293.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7974976 + 31270464 = 2824^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39245441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440916 + ... + 441004.

Almost surely, 2^39245440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52050600).

39245440 is an abundant number, since it is smaller than the sum of its proper divisors (64855760).

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

39245440 is a wasteful number, since it uses less digits than its factorization.

39245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 39245440 is about 6264.6181048808. The cubic root of 39245440 is about 339.8310579371.

The spelling of 39245440 in words is "thirty-nine million, two hundred forty-five thousand, four hundred forty".