382320240 has 80 divisors (see below), whose sum is σ = 1187923968. Its totient is φ = 101717248.

The previous prime is 382320233. The next prime is 382320269. The reversal of 382320240 is 42023283.

It is a tau number, because it is divible by the number of its divisors (80).

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 382320240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119137 + ... + 122303.

Almost surely, 2^382320240 is an apocalyptic number.

382320240 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 382320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593961984).

382320240 is an abundant number, since it is smaller than the sum of its proper divisors (805603728).

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

382320240 is a wasteful number, since it uses less digits than its factorization.

382320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 382320240 is about 19553.0110213235. The cubic root of 382320240 is about 725.7868524078.

The spelling of 382320240 in words is "three hundred eighty-two million, three hundred twenty thousand, two hundred forty".