39448416 has 96 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 11022336.

The previous prime is 39448393. The next prime is 39448417. The reversal of 39448416 is 61484493.

It is a happy number.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39448417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30960 + ... + 32208.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 2^39448416 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 39448416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

39448416 is an abundant number, since it is smaller than the sum of its proper divisors (81511584).

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

39448416 is a wasteful number, since it uses less digits than its factorization.

39448416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1308 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 39448416 is about 6280.7974016044. The cubic root of 39448416 is about 340.4159154633.

The spelling of 39448416 in words is "thirty-nine million, four hundred forty-eight thousand, four hundred sixteen".