364500 has 84 divisors (see below), whose sum is σ = 1193556. Its totient is φ = 97200.

The previous prime is 364499. The next prime is 364513. The reversal of 364500 is 5463.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11664 + 352836 = 108^2 + 594^2 .

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

It is a nialpdrome in base 15.

It is a zygodrome in base 11.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 72898 + ... + 72902.

It is an arithmetic number, because the mean of its divisors is an integer number (14209).

2³⁶⁴⁵⁰⁰ is an apocalyptic number.

364500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596778).

364500 is an abundant number, since it is smaller than the sum of its proper divisors (829056).

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

364500 is an equidigital number, since it uses as much as digits as its factorization.

364500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

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

The square root of 364500 is about 603.7383539249. The cubic root of 364500 is about 71.4330473386.

Adding to 364500 its reverse (5463), we get a palindrome (369963).

The spelling of 364500 in words is "three hundred sixty-four thousand, five hundred".