382914000 has 320 divisors, whose sum is σ = 1569185280. Its totient is φ = 87436800.

The previous prime is 382913989. The next prime is 382914023. The reversal of 382914000 is 419283.

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 63 ways as a sum of consecutive naturals, for example, 377494 + ... + 378506.

It is an arithmetic number, because the mean of its divisors is an integer number (4903704).

Almost surely, 2^382914000 is an apocalyptic number.

382914000 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 382914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784592640).

382914000 is an abundant number, since it is smaller than the sum of its proper divisors (1186271280).

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

382914000 is a wasteful number, since it uses less digits than its factorization.

382914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 382914000 is about 19568.1884700654. The cubic root of 382914000 is about 726.1623842765.

The spelling of 382914000 in words is "three hundred eighty-two million, nine hundred fourteen thousand".