363330240 has 224 divisors, whose sum is σ = 1420124160. Its totient is φ = 76640256.

The previous prime is 363330221. The next prime is 363330277. The reversal of 363330240 is 42033363.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 363330240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85281 + ... + 89439.

It is an arithmetic number, because the mean of its divisors is an integer number (6339840).

Almost surely, 2^363330240 is an apocalyptic number.

363330240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710062080).

363330240 is an abundant number, since it is smaller than the sum of its proper divisors (1056793920).

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

363330240 is a wasteful number, since it uses less digits than its factorization.

363330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4189 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 363330240 is about 19061.2234654547. The cubic root of 363330240 is about 713.5655070567.

The spelling of 363330240 in words is "three hundred sixty-three million, three hundred thirty thousand, two hundred forty".