364560500 has 48 divisors (see below), whose sum is σ = 811281744. Its totient is φ = 143062400.

The previous prime is 364560491. The next prime is 364560503. The reversal of 364560500 is 5065463.

It can be written as a sum of positive squares in 8 ways, for example, as 180741136 + 183819364 = 13444^2 + 13558^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364560503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19622 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (16901703).

Almost surely, 2^364560500 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 364560500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405640872).

364560500 is an abundant number, since it is smaller than the sum of its proper divisors (446721244).

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

364560500 is a wasteful number, since it uses less digits than its factorization.

364560500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13829 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 364560500 is about 19093.4674692681. The cubic root of 364560500 is about 714.3699929127.

It can be divided in two parts, 3645 and 60500, that multiplied together give a square (220522500 = 14850²).

The spelling of 364560500 in words is "three hundred sixty-four million, five hundred sixty thousand, five hundred".