1383831540 has 504 divisors, whose sum is σ = 5494948200. Its totient is φ = 290013696.

The previous prime is 1383831529. The next prime is 1383831583. The reversal of 1383831540 is 451383831.

1383831540 is a `hidden beast` number, since 1 + 3 + 83 + 8 + 31 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11573604 + 1372257936 = 3402^2 + 37044^2 .

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 = 1383831495 and 1383831504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9287386 + ... + 9287534.

It is an arithmetic number, because the mean of its divisors is an integer number (10902675).

Almost surely, 2^1383831540 is an apocalyptic number.

1383831540 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 1383831540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747474100).

1383831540 is an abundant number, since it is smaller than the sum of its proper divisors (4111116660).

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

1383831540 is a wasteful number, since it uses less digits than its factorization.

1383831540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

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

The square root of 1383831540 is about 37199.8862901488. The cubic root of 1383831540 is about 1114.3657140365.

The spelling of 1383831540 in words is "one billion, three hundred eighty-three million, eight hundred thirty-one thousand, five hundred forty".