363072220 has 96 divisors (see below), whose sum is σ = 914006016. Its totient is φ = 118540800.

The previous prime is 363072209. The next prime is 363072221. The reversal of 363072220 is 22270363.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363072221) 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 31 ways as a sum of consecutive naturals, for example, 246085 + ... + 247555.

It is an arithmetic number, because the mean of its divisors is an integer number (9520896).

Almost surely, 2^363072220 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 363072220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457003008).

363072220 is an abundant number, since it is smaller than the sum of its proper divisors (550933796).

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

363072220 is a wasteful number, since it uses less digits than its factorization.

363072220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 363072220 is about 19054.4540724734. The cubic root of 363072220 is about 713.3965535335.

The spelling of 363072220 in words is "three hundred sixty-three million, seventy-two thousand, two hundred twenty".