407665368 has 96 divisors (see below), whose sum is σ = 1267905600. Its totient is φ = 117028800.

The previous prime is 407665343. The next prime is 407665369. The reversal of 407665368 is 863566704.

407665368 is a `hidden beast` number, since 40 + 76 + 6 + 536 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407665369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503 + ... + 28593.

It is an arithmetic number, because the mean of its divisors is an integer number (13207350).

Almost surely, 2^407665368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407665368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633952800).

407665368 is an abundant number, since it is smaller than the sum of its proper divisors (860240232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

407665368 is a wasteful number, since it uses less digits than its factorization.

407665368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27133 (or 27126 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 407665368 is about 20190.7248012547. The cubic root of 407665368 is about 741.4831272693.

The spelling of 407665368 in words is "four hundred seven million, six hundred sixty-five thousand, three hundred sixty-eight".