1383867456 has 112 divisors (see below), whose sum is σ = 3890954880. Its totient is φ = 432578560.

The previous prime is 1383867431. The next prime is 1383867469. The reversal of 1383867456 is 6547683831.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1383867399 and 1383867408.

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 15 ways as a sum of consecutive naturals, for example, 1171186 + ... + 1172366.

Almost surely, 2^1383867456 is an apocalyptic number.

1383867456 is a gapful number since it is divisible by the number (16) 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 1383867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945477440).

1383867456 is an abundant number, since it is smaller than the sum of its proper divisors (2507087424).

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

1383867456 is a wasteful number, since it uses less digits than its factorization.

1383867456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1562 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The square root of 1383867456 is about 37200.3690304276. The cubic root of 1383867456 is about 1114.3753547121.

The spelling of 1383867456 in words is "one billion, three hundred eighty-three million, eight hundred sixty-seven thousand, four hundred fifty-six".