1383756480 has 224 divisors, whose sum is σ = 5169286080. Its totient is φ = 347258880.

The previous prime is 1383756467. The next prime is 1383756499. The reversal of 1383756480 is 846573831.

1383756480 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 7 + 564 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 142170 + ... + 151590.

It is an arithmetic number, because the mean of its divisors is an integer number (23077170).

Almost surely, 2^1383756480 is an apocalyptic number.

1383756480 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 1383756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584643040).

1383756480 is an abundant number, since it is smaller than the sum of its proper divisors (3785529600).

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

1383756480 is a wasteful number, since it uses less digits than its factorization.

1383756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9464 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1383756480 is about 37198.8774024163. The cubic root of 1383756480 is about 1114.3455656778.

The spelling of 1383756480 in words is "one billion, three hundred eighty-three million, seven hundred fifty-six thousand, four hundred eighty".