389642400 has 360 divisors, whose sum is σ = 1625833440. Its totient is φ = 88957440.

The previous prime is 389642389. The next prime is 389642413. The reversal of 389642400 is 4246983.

It is a happy number.

389642400 is a `hidden beast` number, since 3 + 8 + 9 + 642 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 453171 + ... + 454029.

It is an arithmetic number, because the mean of its divisors is an integer number (4516204).

Almost surely, 2^389642400 is an apocalyptic number.

389642400 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 389642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812916720).

389642400 is an abundant number, since it is smaller than the sum of its proper divisors (1236191040).

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

389642400 is a wasteful number, since it uses less digits than its factorization.

389642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 389642400 is about 19739.3616918076. The cubic root of 389642400 is about 730.3909833986.

The spelling of 389642400 in words is "three hundred eighty-nine million, six hundred forty-two thousand, four hundred".