363622401 has 18 divisors (see below), whose sum is σ = 557949782. Its totient is φ = 228153600.

The previous prime is 363622381. The next prime is 363622451. The reversal of 363622401 is 104226363.

363622401 is a `hidden beast` number, since 3 + 636 + 2 + 24 + 0 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 189778176 + 173844225 = 13776^2 + 13185^2 .

It is not a de Polignac number, because 363622401 - 2¹⁷ = 363491329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363622451) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 67300 + ... + 72501.

Almost surely, 2^363622401 is an apocalyptic number.

It is an amenable number.

363622401 is a deficient number, since it is larger than the sum of its proper divisors (194327381).

363622401 is a wasteful number, since it uses less digits than its factorization.

363622401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139841 (or 139821 counting only the distinct ones).

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

The square root of 363622401 is about 19068.8856779834. The cubic root of 363622401 is about 713.7567198380.

Adding to 363622401 its reverse (104226363), we get a palindrome (467848764).

The spelling of 363622401 in words is "three hundred sixty-three million, six hundred twenty-two thousand, four hundred one".