363222640 has 120 divisors (see below), whose sum is σ = 938064960. Its totient is φ = 130690560.

The previous prime is 363222637. The next prime is 363222641. The reversal of 363222640 is 46222363.

It is a junction number, because it is equal to n+sod(n) for n = 363222599 and 363222608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363222641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1519641 + ... + 1519879.

It is an arithmetic number, because the mean of its divisors is an integer number (7817208).

Almost surely, 2^363222640 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 363222640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469032480).

363222640 is an abundant number, since it is smaller than the sum of its proper divisors (574842320).

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

363222640 is a wasteful number, since it uses less digits than its factorization.

363222640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 363222640 is about 19058.4007723628. The cubic root of 363222640 is about 713.4950594577.

The spelling of 363222640 in words is "three hundred sixty-three million, two hundred twenty-two thousand, six hundred forty".