363505840 has 20 divisors (see below), whose sum is σ = 845151264. Its totient is φ = 145402304.

The previous prime is 363505817. The next prime is 363505841. The reversal of 363505840 is 48505363.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 363505796 and 363505805.

It is not an unprimeable number, because it can be changed into a prime (363505841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2271832 + ... + 2271991.

Almost surely, 2^363505840 is an apocalyptic number.

It is an amenable number.

363505840 is an abundant number, since it is smaller than the sum of its proper divisors (481645424).

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

363505840 is a wasteful number, since it uses less digits than its factorization.

363505840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4543836 (or 4543830 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 363505840 is about 19065.8291191335. The cubic root of 363505840 is about 713.6804455784.

The spelling of 363505840 in words is "three hundred sixty-three million, five hundred five thousand, eight hundred forty".