363466944 has 84 divisors (see below), whose sum is σ = 1045677360. Its totient is φ = 120706560.

The previous prime is 363466921. The next prime is 363466949. The reversal of 363466944 is 449664363.

363466944 is a `hidden beast` number, since 3 + 634 + 6 + 6 + 9 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 363466944.

It is not an unprimeable number, because it can be changed into a prime (363466949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178122 + ... + 180150.

It is an arithmetic number, because the mean of its divisors is an integer number (12448540).

Almost surely, 2^363466944 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 363466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522838680).

363466944 is an abundant number, since it is smaller than the sum of its proper divisors (682210416).

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

363466944 is a wasteful number, since it uses less digits than its factorization.

363466944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2345 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 363466944 is about 19064.8090470374. The cubic root of 363466944 is about 713.6549894951.

The spelling of 363466944 in words is "three hundred sixty-three million, four hundred sixty-six thousand, nine hundred forty-four".