382270320 has 80 divisors (see below), whose sum is σ = 1316716320. Its totient is φ = 101938176.

The previous prime is 382270289. The next prime is 382270321. The reversal of 382270320 is 23072283.

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

It is a super-2 number, since 2×382270320² = 292261195105804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382270321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86329 + ... + 90648.

It is an arithmetic number, because the mean of its divisors is an integer number (16458954).

Almost surely, 2^382270320 is an apocalyptic number.

382270320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382270320 is an abundant number, since it is smaller than the sum of its proper divisors (934446000).

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

382270320 is a wasteful number, since it uses less digits than its factorization.

382270320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176999 (or 176987 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 382270320 is about 19551.7344499152. The cubic root of 382270320 is about 725.7552620873.

The spelling of 382270320 in words is "three hundred eighty-two million, two hundred seventy thousand, three hundred twenty".