705406407 has 16 divisors (see below), whose sum is σ = 1000258560. Its totient is φ = 440923392.

The previous prime is 705406397. The next prime is 705406417. The reversal of 705406407 is 704604507.

705406407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (705406397) and next prime (705406417).

It is not a de Polignac number, because 705406407 - 2⁴ = 705406391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705406417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58263 + ... + 69320.

It is an arithmetic number, because the mean of its divisors is an integer number (62516160).

Almost surely, 2^705406407 is an apocalyptic number.

705406407 is a deficient number, since it is larger than the sum of its proper divisors (294852153).

705406407 is a wasteful number, since it uses less digits than its factorization.

705406407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127702.

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 705406407 is about 26559.4880786509. The cubic root of 705406407 is about 890.1840325574.

The spelling of 705406407 in words is "seven hundred five million, four hundred six thousand, four hundred seven".