364405 has 8 divisors (see below), whose sum is σ = 451584. Its totient is φ = 282000.

The previous prime is 364393. The next prime is 364411. The reversal of 364405 is 504463.

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

It is not a de Polignac number, because 364405 - 2⁵ = 364373 is a prime.

It is a Duffinian number.

364405 is a lucky 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 364405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021 + ... + 1330.

It is an arithmetic number, because the mean of its divisors is an integer number (56448).

2³⁶⁴⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

364405 is a deficient number, since it is larger than the sum of its proper divisors (87179).

364405 is a wasteful number, since it uses less digits than its factorization.

364405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387.

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 364405 is about 603.6596723320. The cubic root of 364405 is about 71.4268409105.

Adding to 364405 its reverse (504463), we get a palindrome (868868).

The spelling of 364405 in words is "three hundred sixty-four thousand, four hundred five".