407400319 has 2 divisors, whose sum is σ = 407400320. Its totient is φ = 407400318.

The previous prime is 407400317. The next prime is 407400373. The reversal of 407400319 is 913004704.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 407400319 - 2¹ = 407400317 is a prime.

It is a super-2 number, since 2×407400319² = 331950039842603522, which contains 22 as substring.

Together with 407400317, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407400317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203700159 + 203700160.

It is an arithmetic number, because the mean of its divisors is an integer number (203700160).

Almost surely, 2^407400319 is an apocalyptic number.

407400319 is a deficient number, since it is larger than the sum of its proper divisors (1).

407400319 is an equidigital number, since it uses as much as digits as its factorization.

407400319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 407400319 is about 20184.1601014261. The cubic root of 407400319 is about 741.3223974287.

The spelling of 407400319 in words is "four hundred seven million, four hundred thousand, three hundred nineteen".