393407 has 8 divisors (see below), whose sum is σ = 460416. Its totient is φ = 329112.

The previous prime is 393403. The next prime is 393413. The reversal of 393407 is 704393.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 393407 - 2² = 393403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393407.

It is not an unprimeable number, because it can be changed into a prime (393401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353 + ... + 954.

It is an arithmetic number, because the mean of its divisors is an integer number (57552).

2³⁹³⁴⁰⁷ is an apocalyptic number.

393407 is a deficient number, since it is larger than the sum of its proper divisors (67009).

393407 is a wasteful number, since it uses less digits than its factorization.

393407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357.

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 393407 is about 627.2216514120. The cubic root of 393407 is about 73.2735716053.

It can be divided in two parts, 393 and 407, that multiplied together give a palindrome (159951).

The spelling of 393407 in words is "three hundred ninety-three thousand, four hundred seven".