43382000 has 80 divisors (see below), whose sum is σ = 106392000. Its totient is φ = 17107200.

The previous prime is 43381993. The next prime is 43382029. The reversal of 43382000 is 28334.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217901 + ... + 218099.

It is an arithmetic number, because the mean of its divisors is an integer number (1329900).

Almost surely, 2^43382000 is an apocalyptic number.

43382000 is a gapful number since it is divisible by the number (40) 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 43382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53196000).

43382000 is an abundant number, since it is smaller than the sum of its proper divisors (63010000).

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

43382000 is a wasteful number, since it uses less digits than its factorization.

43382000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 43382000 is about 6586.5013474530. The cubic root of 43382000 is about 351.3741893572.

The spelling of 43382000 in words is "forty-three million, three hundred eighty-two thousand".