361141200 has 480 divisors, whose sum is σ = 1560971520. Its totient is φ = 77414400.

The previous prime is 361141199. The next prime is 361141223. The reversal of 361141200 is 2141163.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1285060 + ... + 1285340.

It is an arithmetic number, because the mean of its divisors is an integer number (3252024).

Almost surely, 2^361141200 is an apocalyptic number.

361141200 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 361141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780485760).

361141200 is an abundant number, since it is smaller than the sum of its proper divisors (1199830320).

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

361141200 is a wasteful number, since it uses less digits than its factorization.

361141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 361141200 is about 19003.7154262002. The cubic root of 361141200 is about 712.1295581263.

Adding to 361141200 its reverse (2141163), we get a palindrome (363282363).

The spelling of 361141200 in words is "three hundred sixty-one million, one hundred forty-one thousand, two hundred".