407676641 has 8 divisors (see below), whose sum is σ = 409359744. Its totient is φ = 405998080.

The previous prime is 407676623. The next prime is 407676683. The reversal of 407676641 is 146676704.

It is a happy number.

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 407676641 - 2²² = 403482337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407676611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 414236 + ... + 415218.

It is an arithmetic number, because the mean of its divisors is an integer number (51169968).

Almost surely, 2^407676641 is an apocalyptic number.

It is an amenable number.

407676641 is a deficient number, since it is larger than the sum of its proper divisors (1683103).

407676641 is an equidigital number, since it uses as much as digits as its factorization.

407676641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271.

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 407676641 is about 20191.0039621610. The cubic root of 407676641 is about 741.4899618473.

The spelling of 407676641 in words is "four hundred seven million, six hundred seventy-six thousand, six hundred forty-one".