407066667 has 24 divisors (see below), whose sum is σ = 632388096. Its totient is φ = 232234128.

The previous prime is 407066651. The next prime is 407066677. The reversal of 407066667 is 766660704.

It is not a de Polignac number, because 407066667 - 2⁴ = 407066651 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407066677) 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, 107358 + ... + 111084.

It is an arithmetic number, because the mean of its divisors is an integer number (26349504).

Almost surely, 2^407066667 is an apocalyptic number.

407066667 is a deficient number, since it is larger than the sum of its proper divisors (225321429).

407066667 is a wasteful number, since it uses less digits than its factorization.

407066667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 407066667 is about 20175.8932144280. The cubic root of 407066667 is about 741.1199665167.

The spelling of 407066667 in words is "four hundred seven million, sixty-six thousand, six hundred sixty-seven".