407008805 has 16 divisors (see below), whose sum is σ = 582453504. Its totient is φ = 266956800.

The previous prime is 407008801. The next prime is 407008817. The reversal of 407008805 is 508800704.

It is not a de Polignac number, because 407008805 - 2² = 407008801 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 (407008801) 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, 251996 + ... + 253605.

It is an arithmetic number, because the mean of its divisors is an integer number (36403344).

Almost surely, 2^407008805 is an apocalyptic number.

It is an amenable number.

407008805 is a deficient number, since it is larger than the sum of its proper divisors (175444699).

407008805 is a wasteful number, since it uses less digits than its factorization.

407008805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505636.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 407008805 is about 20174.4592244749. The cubic root of 407008805 is about 741.0848496518.

The spelling of 407008805 in words is "four hundred seven million, eight thousand, eight hundred five".