360240400 has 135 divisors (see below), whose sum is σ = 950187789. Its totient is φ = 131189760.

The previous prime is 360240359. The next prime is 360240401. The reversal of 360240400 is 4042063.

The square root of 360240400 is 18980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 324432144 + 35808256 = 18012^2 + 5984^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (360240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4934764 + ... + 4934836.

Almost surely, 2^360240400 is an apocalyptic number.

360240400 is the 18980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 360240400

360240400 is an abundant number, since it is smaller than the sum of its proper divisors (589947389).

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

360240400 is a wasteful number, since it uses less digits than its factorization.

360240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The cubic root of 360240400 is about 711.5369732845.

Multiplying 360240400 by its product of nonzero digits (576), we get a square (207498470400 = 455520²).

Adding to 360240400 its reverse (4042063), we get a palindrome (364282463).

The spelling of 360240400 in words is "three hundred sixty million, two hundred forty thousand, four hundred".