360401200 has 60 divisors (see below), whose sum is σ = 871819200. Its totient is φ = 143169280.

The previous prime is 360401161. The next prime is 360401203. The reversal of 360401200 is 2104063.

It is a super-2 number, since 2×360401200² = 259778049922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (360401203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56577 + ... + 62623.

It is an arithmetic number, because the mean of its divisors is an integer number (14530320).

Almost surely, 2^360401200 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 360401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435909600).

360401200 is an abundant number, since it is smaller than the sum of its proper divisors (511418000).

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

360401200 is a wasteful number, since it uses less digits than its factorization.

360401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6214 (or 6203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 360401200 is about 18984.2355653316. The cubic root of 360401200 is about 711.6428267884.

Adding to 360401200 its reverse (2104063), we get a palindrome (362505263).

The spelling of 360401200 in words is "three hundred sixty million, four hundred one thousand, two hundred".