394718688 has 144 divisors (see below), whose sum is σ = 1381607136. Its totient is φ = 104094720.

The previous prime is 394718683. The next prime is 394718707. The reversal of 394718688 is 886817493.

It is a tau number, because it is divible by the number of its divisors (144).

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 (394718683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18678 + ... + 33738.

It is an arithmetic number, because the mean of its divisors is an integer number (9594494).

Almost surely, 2^394718688 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 394718688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690803568).

394718688 is an abundant number, since it is smaller than the sum of its proper divisors (986888448).

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

394718688 is a wasteful number, since it uses less digits than its factorization.

394718688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15097 (or 15086 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 394718688 is about 19867.5284824258. The cubic root of 394718688 is about 733.5491691592.

The spelling of 394718688 in words is "three hundred ninety-four million, seven hundred eighteen thousand, six hundred eighty-eight".