439691616 has 288 divisors, whose sum is σ = 1621751040. Its totient is φ = 109734912.

The previous prime is 439691579. The next prime is 439691617. The reversal of 439691616 is 616196934.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (439691617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497511 + ... + 498393.

It is an arithmetic number, because the mean of its divisors is an integer number (5631080).

Almost surely, 2^439691616 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 439691616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810875520).

439691616 is an abundant number, since it is smaller than the sum of its proper divisors (1182059424).

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

439691616 is a wasteful number, since it uses less digits than its factorization.

439691616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 927 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 439691616 is about 20968.8248597770. The cubic root of 439691616 is about 760.4127582453.

The spelling of 439691616 in words is "four hundred thirty-nine million, six hundred ninety-one thousand, six hundred sixteen".