363505649 has 24 divisors (see below), whose sum is σ = 411315192. Its totient is φ = 320785920.

The previous prime is 363505627. The next prime is 363505651. The reversal of 363505649 is 946505363.

It can be written as a sum of positive squares in 12 ways, for example, as 222964624 + 140541025 = 14932^2 + 11855^2 .

It is not a de Polignac number, because 363505649 - 2²⁸ = 95070193 is a prime.

It is a super-2 number, since 2×363505649² = 264272713709822402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (363505249) 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 23 ways as a sum of consecutive naturals, for example, 380957 + ... + 381909.

It is an arithmetic number, because the mean of its divisors is an integer number (17138133).

Almost surely, 2^363505649 is an apocalyptic number.

It is an amenable number.

363505649 is a deficient number, since it is larger than the sum of its proper divisors (47809543).

363505649 is a wasteful number, since it uses less digits than its factorization.

363505649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

The square root of 363505649 is about 19065.8241101716. The cubic root of 363505649 is about 713.6803205799.

The spelling of 363505649 in words is "three hundred sixty-three million, five hundred five thousand, six hundred forty-nine".