390689000 has 128 divisors (see below), whose sum is σ = 1009925280. Its totient is φ = 140544000.

The previous prime is 390688981. The next prime is 390689011. The reversal of 390689000 is 986093.

It can be written as a sum of positive squares in 16 ways, for example, as 51466276 + 339222724 = 7174^2 + 18418^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532634 + ... + 533366.

Almost surely, 2^390689000 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 390689000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504962640).

390689000 is an abundant number, since it is smaller than the sum of its proper divisors (619236280).

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

390689000 is a wasteful number, since it uses less digits than its factorization.

390689000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 390689000 is about 19765.8543959020. The cubic root of 390689000 is about 731.0443549620.

The spelling of 390689000 in words is "three hundred ninety million, six hundred eighty-nine thousand".