394264 has 32 divisors (see below), whose sum is σ = 846720. Its totient is φ = 170496.

The previous prime is 394259. The next prime is 394271. The reversal of 394264 is 462493.

It is a d-powerful number, because it can be written as 3² + 9 + 2¹⁷ + 4⁵ + 6 + 4⁹ .

It is a congruent number.

It is an unprimeable number.

394264 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1657 + ... + 1879.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2³⁹⁴²⁶⁴ is an apocalyptic number.

394264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

394264 is an abundant number, since it is smaller than the sum of its proper divisors (452456).

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

394264 is a wasteful number, since it uses less digits than its factorization.

394264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 394264 is about 627.9044513300. The cubic root of 394264 is about 73.3267395357.

The spelling of 394264 in words is "three hundred ninety-four thousand, two hundred sixty-four".