394627968 has 144 divisors (see below), whose sum is σ = 1321173360. Its totient is φ = 112734720.

The previous prime is 394627963. The next prime is 394627991. The reversal of 394627968 is 869726493.

It is a happy number.

394627968 is a `hidden beast` number, since 3 + 9 + 4 + 627 + 9 + 6 + 8 = 666.

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 (394627963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52953 + ... + 59943.

It is an arithmetic number, because the mean of its divisors is an integer number (9174815).

Almost surely, 2^394627968 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 394627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660586680).

394627968 is an abundant number, since it is smaller than the sum of its proper divisors (926545392).

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

394627968 is a wasteful number, since it uses less digits than its factorization.

394627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7025 (or 7003 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 394627968 is about 19865.2452287909. The cubic root of 394627968 is about 733.4929665338.

The spelling of 394627968 in words is "three hundred ninety-four million, six hundred twenty-seven thousand, nine hundred sixty-eight".