1405376768 has 36 divisors (see below), whose sum is σ = 2807689500. Its totient is φ = 702081024.

The previous prime is 1405376767. The next prime is 1405376789. The reversal of 1405376768 is 8676735041.

It can be written as a sum of positive squares in 2 ways, for example, as 89718784 + 1315657984 = 9472^2 + 36272^2 .

It is not an unprimeable number, because it can be changed into a prime (1405376767) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 509858 + ... + 512606.

It is an arithmetic number, because the mean of its divisors is an integer number (77991375).

Almost surely, 2^1405376768 is an apocalyptic number.

It is an amenable number.

1405376768 is a deficient number, since it is larger than the sum of its proper divisors (1402312732).

1405376768 is an equidigital number, since it uses as much as digits as its factorization.

1405376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 1405376768 is about 37488.3550986170. The cubic root of 1405376768 is about 1120.1192390056.

The spelling of 1405376768 in words is "one billion, four hundred five million, three hundred seventy-six thousand, seven hundred sixty-eight".