1383315840 has 384 divisors, whose sum is σ = 5223175200. Its totient is φ = 345931776.

The previous prime is 1383315803. The next prime is 1383315859. The reversal of 1383315840 is 485133831.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1383315795 and 1383315804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4993782 + ... + 4994058.

Almost surely, 2^1383315840 is an apocalyptic number.

1383315840 is a gapful number since it is divisible by the number (10) 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 1383315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611587600).

1383315840 is an abundant number, since it is smaller than the sum of its proper divisors (3839859360).

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

1383315840 is a wasteful number, since it uses less digits than its factorization.

1383315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1383315840 is about 37192.9541714556. The cubic root of 1383315840 is about 1114.2272699693.

The spelling of 1383315840 in words is "one billion, three hundred eighty-three million, three hundred fifteen thousand, eight hundred forty".