407918809 has 9 divisors (see below), whose sum is σ = 430923573. Its totient is φ = 386085852.

The previous prime is 407918807. The next prime is 407918839. The reversal of 407918809 is 908819704.

It is a happy number.

The square root of 407918809 is 20197.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 407918809 - 2¹ = 407918807 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407918807) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 383212 + ... + 384274.

It is an arithmetic number, because the mean of its divisors is an integer number (47880397).

Almost surely, 2^407918809 is an apocalyptic number.

407918809 is the 20197-th square number.

407918809 is the 10099-th centered octagonal number.

It is an amenable number.

407918809 is a deficient number, since it is larger than the sum of its proper divisors (23004764).

407918809 is an frugal number, since it uses more digits than its factorization.

407918809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The cubic root of 407918809 is about 741.6367526938.

The spelling of 407918809 in words is "four hundred seven million, nine hundred eighteen thousand, eight hundred nine".