389461248 has 216 divisors, whose sum is σ = 1244845056. Its totient is φ = 117089280.

The previous prime is 389461147. The next prime is 389461273. The reversal of 389461248 is 842164983.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3066561 + ... + 3066687.

Almost surely, 2^389461248 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 389461248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622422528).

389461248 is an abundant number, since it is smaller than the sum of its proper divisors (855383808).

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

389461248 is a wasteful number, since it uses less digits than its factorization.

389461248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 389461248 is about 19734.7725601285. The cubic root of 389461248 is about 730.2777750675.

The spelling of 389461248 in words is "three hundred eighty-nine million, four hundred sixty-one thousand, two hundred forty-eight".