363681461 has 16 divisors (see below), whose sum is σ = 427932288. Its totient is φ = 304708800.

The previous prime is 363681457. The next prime is 363681481. The reversal of 363681461 is 164186363.

It is a happy number.

363681461 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 363681461 - 2² = 363681457 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363681481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112376 + ... + 115566.

It is an arithmetic number, because the mean of its divisors is an integer number (26745768).

Almost surely, 2^363681461 is an apocalyptic number.

It is an amenable number.

363681461 is a deficient number, since it is larger than the sum of its proper divisors (64250827).

363681461 is a wasteful number, since it uses less digits than its factorization.

363681461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012.

The product of its digits is 62208, while the sum is 38.

The square root of 363681461 is about 19070.4342111028. The cubic root of 363681461 is about 713.7953608291.

The spelling of 363681461 in words is "three hundred sixty-three million, six hundred eighty-one thousand, four hundred sixty-one".