382723200 has 288 divisors, whose sum is σ = 1389793860. Its totient is φ = 100270080.

The previous prime is 382723199. The next prime is 382723219. The reversal of 382723200 is 2327283.

It can be written as a sum of positive squares in 6 ways, for example, as 144576576 + 238146624 = 12024^2 + 15432^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2793532 + ... + 2793668.

Almost surely, 2^382723200 is an apocalyptic number.

382723200 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 382723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694896930).

382723200 is an abundant number, since it is smaller than the sum of its proper divisors (1007070660).

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

382723200 is a wasteful number, since it uses less digits than its factorization.

382723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

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

The square root of 382723200 is about 19563.3126029310. The cubic root of 382723200 is about 726.0417524880.

The spelling of 382723200 in words is "three hundred eighty-two million, seven hundred twenty-three thousand, two hundred".