1389982464 has 288 divisors, whose sum is σ = 4578560000. Its totient is φ = 413061120.

The previous prime is 1389982463. The next prime is 1389982471. The reversal of 1389982464 is 4642899831.

1389982464 is a `hidden beast` number, since 13 + 8 + 99 + 82 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1389982464² = 3864102500455022592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1389982464.

It is not an unprimeable number, because it can be changed into a prime (1389982463) 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 31 ways as a sum of consecutive naturals, for example, 2785287 + ... + 2785785.

Almost surely, 2^1389982464 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 1389982464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289280000).

1389982464 is an abundant number, since it is smaller than the sum of its proper divisors (3188577536).

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

1389982464 is a wasteful number, since it uses less digits than its factorization.

1389982464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 548 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 1389982464 is about 37282.4685877961. The cubic root of 1389982464 is about 1116.0143367334.

The spelling of 1389982464 in words is "one billion, three hundred eighty-nine million, nine hundred eighty-two thousand, four hundred sixty-four".