382414208 has 48 divisors (see below), whose sum is σ = 837429180. Its totient is φ = 173817600.

The previous prime is 382414187. The next prime is 382414211. The reversal of 382414208 is 802414283.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3143 + ... + 27833.

Almost surely, 2^382414208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418714590).

382414208 is an abundant number, since it is smaller than the sum of its proper divisors (455014972).

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

382414208 is a wasteful number, since it uses less digits than its factorization.

382414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24727 (or 24704 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 382414208 is about 19555.4137772638. The cubic root of 382414208 is about 725.8463096769.

The spelling of 382414208 in words is "three hundred eighty-two million, four hundred fourteen thousand, two hundred eight".