369504 has 36 divisors (see below), whose sum is σ = 1051596. Its totient is φ = 123072.

The previous prime is 369491. The next prime is 369539. The reversal of 369504 is 405963.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 369504.

It is an unprimeable number.

369504 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (29211).

2³⁶⁹⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

369504 is an abundant number, since it is smaller than the sum of its proper divisors (682092).

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

369504 is a wasteful number, since it uses less digits than its factorization.

369504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 369504 is about 607.8684068119. The cubic root of 369504 is about 71.7584497974.

The spelling of 369504 in words is "three hundred sixty-nine thousand, five hundred four".