1383934464 has 320 divisors, whose sum is σ = 4713984000. Its totient is φ = 396472320.

The previous prime is 1383934429. The next prime is 1383934553. The reversal of 1383934464 is 4644393831.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2888977 + ... + 2889455.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 2^1383934464 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 1383934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356992000).

1383934464 is an abundant number, since it is smaller than the sum of its proper divisors (3330049536).

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

1383934464 is a wasteful number, since it uses less digits than its factorization.

1383934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 514 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 1383934464 is about 37201.2696557523. The cubic root of 1383934464 is about 1114.3933407454.

The spelling of 1383934464 in words is "one billion, three hundred eighty-three million, nine hundred thirty-four thousand, four hundred sixty-four".