1383553920 has 256 divisors, whose sum is σ = 5090273280. Its totient is φ = 313098240.

The previous prime is 1383553909. The next prime is 1383553931. The reversal of 1383553920 is 293553831.

It is an interprime number because it is at equal distance from previous prime (1383553909) and next prime (1383553931).

It is a congruent number.

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, 1518265 + ... + 1519175.

It is an arithmetic number, because the mean of its divisors is an integer number (19883880).

Almost surely, 2^1383553920 is an apocalyptic number.

1383553920 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 1383553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545136640).

1383553920 is an abundant number, since it is smaller than the sum of its proper divisors (3706719360).

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

1383553920 is a wasteful number, since it uses less digits than its factorization.

1383553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 1383553920 is about 37196.1546399624. The cubic root of 1383553920 is about 1114.2911888526.

The spelling of 1383553920 in words is "one billion, three hundred eighty-three million, five hundred fifty-three thousand, nine hundred twenty".