456840007 has 8 divisors (see below), whose sum is σ = 513372384. Its totient is φ = 403363488.

The previous prime is 456839959. The next prime is 456840011. The reversal of 456840007 is 700048654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456840007 - 2⁷ = 456839879 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456840017) 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 7 ways as a sum of consecutive naturals, for example, 763648 + ... + 764245.

It is an arithmetic number, because the mean of its divisors is an integer number (64171548).

Almost surely, 2^456840007 is an apocalyptic number.

456840007 is a deficient number, since it is larger than the sum of its proper divisors (56532377).

456840007 is a wasteful number, since it uses less digits than its factorization.

456840007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527929.

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 456840007 is about 21373.8159204200. The cubic root of 456840007 is about 770.1725632246.

The spelling of 456840007 in words is "four hundred fifty-six million, eight hundred forty thousand, seven".