361226304 has 84 divisors (see below), whose sum is σ = 1073783984. Its totient is φ = 120403584.

The previous prime is 361226269. The next prime is 361226317. The reversal of 361226304 is 403622163.

361226304 is a `hidden beast` number, since 3 + 6 + 1 + 22 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 3939 + ... + 27165.

Almost surely, 2^361226304 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 361226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536891992).

361226304 is an abundant number, since it is smaller than the sum of its proper divisors (712557680).

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

361226304 is an equidigital number, since it uses as much as digits as its factorization.

361226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23254 (or 23232 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 361226304 is about 19005.9544353868. The cubic root of 361226304 is about 712.1854922171.

Adding to 361226304 its reverse (403622163), we get a palindrome (764848467).

The spelling of 361226304 in words is "three hundred sixty-one million, two hundred twenty-six thousand, three hundred four".