363999760 has 60 divisors (see below), whose sum is σ = 865220292. Its totient is φ = 142365184.

The previous prime is 363999751. The next prime is 363999791. The reversal of 363999760 is 67999363.

It can be written as a sum of positive squares in 6 ways, for example, as 114233344 + 249766416 = 10688^2 + 15804^2 .

It is a junction number, because it is equal to n+sod(n) for n = 363999698 and 363999707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1242174 + ... + 1242466.

Almost surely, 2^363999760 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 363999760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432610146).

363999760 is an abundant number, since it is smaller than the sum of its proper divisors (501220532).

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

363999760 is an equidigital number, since it uses as much as digits as its factorization.

363999760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 52.

The square root of 363999760 is about 19078.7777386289. Note that the first 4 decimals coincide. The cubic root of 363999760 is about 714.0035412682.

The spelling of 363999760 in words is "three hundred sixty-three million, nine hundred ninety-nine thousand, seven hundred sixty".