382233600 has 528 divisors, whose sum is σ = 1624499200. Its totient is φ = 86261760.

The previous prime is 382233587. The next prime is 382233623. The reversal of 382233600 is 6332283.

382233600 is a `hidden beast` number, since 3 + 8 + 22 + 33 + 600 = 666.

It is a super-2 number, since 2×382233600² = 292205049937920000, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4838361 + ... + 4838439.

Almost surely, 2^382233600 is an apocalyptic number.

382233600 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 382233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812249600).

382233600 is an abundant number, since it is smaller than the sum of its proper divisors (1242265600).

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

382233600 is a wasteful number, since it uses less digits than its factorization.

382233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 382233600 is about 19550.7953802396. The cubic root of 382233600 is about 725.7320232210.

Adding to 382233600 its reverse (6332283), we get a palindrome (388565883).

The spelling of 382233600 in words is "three hundred eighty-two million, two hundred thirty-three thousand, six hundred".