364504 has 32 divisors (see below), whose sum is σ = 817920. Its totient is φ = 148896.

The previous prime is 364499. The next prime is 364513. The reversal of 364504 is 405463.

It is an Ulam 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 364504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1147 + ... + 1429.

It is an arithmetic number, because the mean of its divisors is an integer number (25560).

364504 is a Friedman number, since it can be written as (45^3+6^0)*4, using all its digits and the basic arithmetic operations.

2³⁶⁴⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408960).

364504 is an abundant number, since it is smaller than the sum of its proper divisors (453416).

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

364504 is a wasteful number, since it uses less digits than its factorization.

364504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

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

The square root of 364504 is about 603.7416666092. The cubic root of 364504 is about 71.4333086382.

Adding to 364504 its reverse (405463), we get a palindrome (769967).

It can be divided in two parts, 364 and 504, that added together give a palindrome (868).

The spelling of 364504 in words is "three hundred sixty-four thousand, five hundred four".