363355040 has 96 divisors (see below), whose sum is σ = 888693120. Its totient is φ = 140313600.

The previous prime is 363355039. The next prime is 363355043. The reversal of 363355040 is 40553363.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 363354994 and 363355012.

It is not an unprimeable number, because it can be changed into a prime (363355043) 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 15 ways as a sum of consecutive naturals, for example, 575525 + ... + 576155.

It is an arithmetic number, because the mean of its divisors is an integer number (9257220).

Almost surely, 2^363355040 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 363355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444346560).

363355040 is an abundant number, since it is smaller than the sum of its proper divisors (525338080).

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

363355040 is a wasteful number, since it uses less digits than its factorization.

363355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 29.

The square root of 363355040 is about 19061.8739897209. The cubic root of 363355040 is about 713.5817420775.

The spelling of 363355040 in words is "three hundred sixty-three million, three hundred fifty-five thousand, forty".