363481047 has 16 divisors (see below), whose sum is σ = 538785280. Its totient is φ = 242188056.

The previous prime is 363481037. The next prime is 363481051. The reversal of 363481047 is 740184363.

363481047 is a `hidden beast` number, since 3 + 634 + 8 + 10 + 4 + 7 = 666.

It is not a de Polignac number, because 363481047 - 2⁷ = 363480919 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 (363481037) 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, 88248 + ... + 92274.

It is an arithmetic number, because the mean of its divisors is an integer number (33674080).

Almost surely, 2^363481047 is an apocalyptic number.

363481047 is a deficient number, since it is larger than the sum of its proper divisors (175304233).

363481047 is a wasteful number, since it uses less digits than its factorization.

363481047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7373 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 363481047 is about 19065.1789134013. The cubic root of 363481047 is about 713.6642196295.

It can be divided in two parts, 3634 and 81047, that added together give a square (84681 = 291²).

The spelling of 363481047 in words is "three hundred sixty-three million, four hundred eighty-one thousand, forty-seven".