382667220 has 288 divisors, whose sum is σ = 1362090240. Its totient is φ = 88646400.

The previous prime is 382667183. The next prime is 382667237. The reversal of 382667220 is 22766283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2534145 + ... + 2534295.

It is an arithmetic number, because the mean of its divisors is an integer number (4729480).

Almost surely, 2^382667220 is an apocalyptic number.

382667220 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 382667220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681045120).

382667220 is an abundant number, since it is smaller than the sum of its proper divisors (979423020).

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

382667220 is a wasteful number, since it uses less digits than its factorization.

382667220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 382667220 is about 19561.8818113187. The cubic root of 382667220 is about 726.0063519696.

The spelling of 382667220 in words is "three hundred eighty-two million, six hundred sixty-seven thousand, two hundred twenty".