1383600240 has 240 divisors, whose sum is σ = 5124109536. Its totient is φ = 331776000.

The previous prime is 1383600223. The next prime is 1383600263. The reversal of 1383600240 is 420063831.

It is a happy number.

1383600240 is a `hidden beast` number, since 1 + 38 + 3 + 600 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 767340 + ... + 769140.

Almost surely, 2^1383600240 is an apocalyptic number.

1383600240 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 1383600240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2562054768).

1383600240 is an abundant number, since it is smaller than the sum of its proper divisors (3740509296).

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

1383600240 is a wasteful number, since it uses less digits than its factorization.

1383600240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1383600240 is about 37196.7772797591. Note that the first 3 decimals coincide. The cubic root of 1383600240 is about 1114.3036238316.

The spelling of 1383600240 in words is "one billion, three hundred eighty-three million, six hundred thousand, two hundred forty".