407609361 has 16 divisors (see below), whose sum is σ = 605145600. Its totient is φ = 271163664.

The previous prime is 407609329. The next prime is 407609369. The reversal of 407609361 is 163906704.

407609361 is a `hidden beast` number, since 40 + 7 + 609 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 407609361 - 2⁵ = 407609329 is a prime.

It is a super-2 number, since 2×407609361² = 332290782349656642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407609369) 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, 2826 + ... + 28691.

It is an arithmetic number, because the mean of its divisors is an integer number (37821600).

Almost surely, 2^407609361 is an apocalyptic number.

It is an amenable number.

407609361 is a deficient number, since it is larger than the sum of its proper divisors (197536239).

407609361 is a wasteful number, since it uses less digits than its factorization.

407609361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32005 (or 31999 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 407609361 is about 20189.3378048910. The cubic root of 407609361 is about 741.4491695590.

The spelling of 407609361 in words is "four hundred seven million, six hundred nine thousand, three hundred sixty-one".