390646000 has 80 divisors (see below), whose sum is σ = 970295040. Its totient is φ = 152006400.

The previous prime is 390645953. The next prime is 390646001. The reversal of 390646000 is 646093.

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

It is a self number, because there is not a number n which added to its sum of digits gives 390646000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390646001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71361 + ... + 76639.

It is an arithmetic number, because the mean of its divisors is an integer number (12128688).

Almost surely, 2^390646000 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 390646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485147520).

390646000 is an abundant number, since it is smaller than the sum of its proper divisors (579649040).

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

390646000 is a wasteful number, since it uses less digits than its factorization.

390646000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5339 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 390646000 is about 19764.7666315593. The cubic root of 390646000 is about 731.0175339179.

The spelling of 390646000 in words is "three hundred ninety million, six hundred forty-six thousand".