1383972480 has 384 divisors, whose sum is σ = 5413262400. Its totient is φ = 335093760.

The previous prime is 1383972449. The next prime is 1383972509. The reversal of 1383972480 is 842793831.

1383972480 is a `hidden beast` number, since 1 + 3 + 83 + 97 + 2 + 480 = 666.

1383972480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (45).

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, 1710316 + ... + 1711124.

Almost surely, 2^1383972480 is an apocalyptic number.

1383972480 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 1383972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706631200).

1383972480 is an abundant number, since it is smaller than the sum of its proper divisors (4029289920).

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

1383972480 is an equidigital number, since it uses as much as digits as its factorization.

1383972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1383972480 is about 37201.7806025464. The cubic root of 1383972480 is about 1114.4035445979.

The spelling of 1383972480 in words is "one billion, three hundred eighty-three million, nine hundred seventy-two thousand, four hundred eighty".