306504 has 80 divisors (see below), whose sum is σ = 958320. Its totient is φ = 90720.

The previous prime is 306503. The next prime is 306511. The reversal of 306504 is 405603.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306504.

It is not an unprimeable number, because it can be changed into a prime (306503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7107 + ... + 7149.

It is an arithmetic number, because the mean of its divisors is an integer number (11979).

2³⁰⁶⁵⁰⁴ 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 306504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479160).

306504 is an abundant number, since it is smaller than the sum of its proper divisors (651816).

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

306504 is a wasteful number, since it uses less digits than its factorization.

306504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 306504 is about 553.6280339723. The cubic root of 306504 is about 67.4236173020.

Subtracting 306504 from its reverse (405603), we obtain a palindrome (99099).

The spelling of 306504 in words is "three hundred six thousand, five hundred four".