1382411808 has 72 divisors (see below), whose sum is σ = 3936182796. Its totient is φ = 460224000.

The previous prime is 1382411791. The next prime is 1382411839. The reversal of 1382411808 is 8081142831.

It can be written as a sum of positive squares in 2 ways, for example, as 1243831824 + 138579984 = 35268^2 + 11772^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1382411808² = 3822124813795657728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268458 + ... + 273558.

Almost surely, 2^1382411808 is an apocalyptic number.

1382411808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1382411808 is an abundant number, since it is smaller than the sum of its proper divisors (2553770988).

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

1382411808 is a wasteful number, since it uses less digits than its factorization.

1382411808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1382411808 is about 37180.7989155693. The cubic root of 1382411808 is about 1113.9844918104.

The spelling of 1382411808 in words is "one billion, three hundred eighty-two million, four hundred eleven thousand, eight hundred eight".