1383646464 has 108 divisors (see below), whose sum is σ = 4004294112. Its totient is φ = 459494400.

The previous prime is 1383646457. The next prime is 1383646477. The reversal of 1383646464 is 4646463831.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 715579 + ... + 717509.

Almost surely, 2^1383646464 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 1383646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002147056).

1383646464 is an abundant number, since it is smaller than the sum of its proper divisors (2620647648).

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

1383646464 is a wasteful number, since it uses less digits than its factorization.

1383646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2247 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 1383646464 is about 37197.3986187206. The cubic root of 1383646464 is about 1114.3160327620.

The spelling of 1383646464 in words is "one billion, three hundred eighty-three million, six hundred forty-six thousand, four hundred sixty-four".