382214700 has 378 divisors, whose sum is σ = 1460086236. Its totient is φ = 86546880.

The previous prime is 382214687. The next prime is 382214711. The reversal of 382214700 is 7412283.

382214700 is a `hidden beast` number, since 382 + 214 + 70 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (378).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3572047 + ... + 3572153.

It is an arithmetic number, because the mean of its divisors is an integer number (3862662).

Almost surely, 2^382214700 is an apocalyptic number.

382214700 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 382214700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730043118).

382214700 is an abundant number, since it is smaller than the sum of its proper divisors (1077871536).

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

382214700 is a wasteful number, since it uses less digits than its factorization.

382214700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 382214700 is about 19550.3120179705. The cubic root of 382214700 is about 725.7200614596.

Adding to 382214700 its reverse (7412283), we get a palindrome (389626983).

The spelling of 382214700 in words is "three hundred eighty-two million, two hundred fourteen thousand, seven hundred".