361306400 has 216 divisors, whose sum is σ = 1106530740. Its totient is φ = 114186240.

The previous prime is 361306399. The next prime is 361306403. The reversal of 361306400 is 4603163.

It can be written as a sum of positive squares in 6 ways, for example, as 20830096 + 340476304 = 4564^2 + 18452^2 .

It is not an unprimeable number, because it can be changed into a prime (361306403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 509246 + ... + 509954.

Almost surely, 2^361306400 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 361306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553265370).

361306400 is an abundant number, since it is smaller than the sum of its proper divisors (745224340).

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

361306400 is a wasteful number, since it uses less digits than its factorization.

361306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 361306400 is about 19008.0614477121. The cubic root of 361306400 is about 712.2381268056.

Adding to 361306400 its reverse (4603163), we get a palindrome (365909563).

The spelling of 361306400 in words is "three hundred sixty-one million, three hundred six thousand, four hundred".