389600 has 36 divisors (see below), whose sum is σ = 953064. Its totient is φ = 155520.

The previous prime is 389591. The next prime is 389621. The reversal of 389600 is 6983.

389600 = T₉₉ + T₁₀₀ + ... + T₁₄₈.

It is a happy number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 389600.

It is a congruent number.

It is an unprimeable number.

389600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (26474).

2³⁸⁹⁶⁰⁰ 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 389600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476532).

389600 is an abundant number, since it is smaller than the sum of its proper divisors (563464).

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

389600 is a wasteful number, since it uses less digits than its factorization.

389600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 389600 is about 624.1794613731. The cubic root of 389600 is about 73.0364489276.

It can be divided in two parts, 389 and 600, that added together give a palindrome (989).

The spelling of 389600 in words is "three hundred eighty-nine thousand, six hundred".