1405928667 has 32 divisors (see below), whose sum is σ = 2206584576. Its totient is φ = 785001600.

The previous prime is 1405928651. The next prime is 1405928749. The reversal of 1405928667 is 7668295041.

It is not a de Polignac number, because 1405928667 - 2⁴ = 1405928651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1405128667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238617 + ... + 244437.

It is an arithmetic number, because the mean of its divisors is an integer number (68955768).

Almost surely, 2^1405928667 is an apocalyptic number.

1405928667 is a deficient number, since it is larger than the sum of its proper divisors (800655909).

1405928667 is a wasteful number, since it uses less digits than its factorization.

1405928667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411.

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1405928667 is about 37495.7153152197. The cubic root of 1405928667 is about 1120.2658454287.

The spelling of 1405928667 in words is "one billion, four hundred five million, nine hundred twenty-eight thousand, six hundred sixty-seven".