393414 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 96768.

The previous prime is 393413. The next prime is 393451. The reversal of 393414 is 414393.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13552 + ... + 13580.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2³⁹³⁴¹⁴ is an apocalyptic number.

393414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 393414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

393414 is an abundant number, since it is smaller than the sum of its proper divisors (643386).

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

393414 is a wasteful number, since it uses less digits than its factorization.

393414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77.

The product of its digits is 1296, while the sum is 24.

The square root of 393414 is about 627.2272315517. The cubic root of 393414 is about 73.2740061951.

The spelling of 393414 in words is "three hundred ninety-three thousand, four hundred fourteen".