360122400 has 216 divisors, whose sum is σ = 1385630064. Its totient is φ = 87283200.

The previous prime is 360122383. The next prime is 360122417. The reversal of 360122400 is 4221063.

It is a happy number.

360122400 is a `hidden beast` number, since 3 + 601 + 22 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (360122383) and next prime (360122417).

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

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 35 ways as a sum of consecutive naturals, for example, 76927 + ... + 81473.

It is an arithmetic number, because the mean of its divisors is an integer number (6414954).

Almost surely, 2^360122400 is an apocalyptic number.

360122400 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 360122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692815032).

360122400 is an abundant number, since it is smaller than the sum of its proper divisors (1025507664).

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

360122400 is a wasteful number, since it uses less digits than its factorization.

360122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 360122400 is about 18976.8912101008. The cubic root of 360122400 is about 711.4592746774.

Adding to 360122400 its reverse (4221063), we get a palindrome (364343463).

It can be divided in two parts, 360 and 122400, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 360122400 in words is "three hundred sixty million, one hundred twenty-two thousand, four hundred".