382196880 has 300 divisors, whose sum is σ = 1441509300. Its totient is φ = 93809664.

The previous prime is 382196821. The next prime is 382196897. The reversal of 382196880 is 88691283.

382196880 is a `hidden beast` number, since 382 + 196 + 8 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42458256 + 339738624 = 6516^2 + 18432^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1094946 + ... + 1095294.

It is an arithmetic number, because the mean of its divisors is an integer number (4805031).

Almost surely, 2^382196880 is an apocalyptic number.

382196880 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 382196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720754650).

382196880 is an abundant number, since it is smaller than the sum of its proper divisors (1059312420).

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

382196880 is a wasteful number, since it uses less digits than its factorization.

382196880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 382196880 is about 19549.8562654563. The cubic root of 382196880 is about 725.7087828663.

The spelling of 382196880 in words is "three hundred eighty-two million, one hundred ninety-six thousand, eight hundred eighty".