407080967 has 8 divisors (see below), whose sum is σ = 413364000. Its totient is φ = 400840704.

The previous prime is 407080951. The next prime is 407080981. The reversal of 407080967 is 769080704.

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 407080967 - 2⁴ = 407080951 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 (407080067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8759 + ... + 29847.

It is an arithmetic number, because the mean of its divisors is an integer number (51670500).

Almost surely, 2^407080967 is an apocalyptic number.

407080967 is a deficient number, since it is larger than the sum of its proper divisors (6283033).

407080967 is a wasteful number, since it uses less digits than its factorization.

407080967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21385.

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 407080967 is about 20176.2475946346. The cubic root of 407080967 is about 741.1286447770.

The spelling of 407080967 in words is "four hundred seven million, eighty thousand, nine hundred sixty-seven".