368407 has 8 divisors (see below), whose sum is σ = 420336. Its totient is φ = 319872.

The previous prime is 368399. The next prime is 368411. The reversal of 368407 is 704863.

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

It is not a de Polignac number, because 368407 - 2³ = 368399 is a prime.

It is a Duffinian number.

368407 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368447) 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, 613 + ... + 1054.

It is an arithmetic number, because the mean of its divisors is an integer number (52542).

2³⁶⁸⁴⁰⁷ is an apocalyptic number.

368407 is a deficient number, since it is larger than the sum of its proper divisors (51929).

368407 is a wasteful number, since it uses less digits than its factorization.

368407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 368407 is about 606.9654026384. The cubic root of 368407 is about 71.6873661739.

The spelling of 368407 in words is "three hundred sixty-eight thousand, four hundred seven".