407344005 has 32 divisors (see below), whose sum is σ = 749145600. Its totient is φ = 209756736.

The previous prime is 407343973. The next prime is 407344013. The reversal of 407344005 is 500443704.

It is not a de Polignac number, because 407344005 - 2⁵ = 407343973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 407344005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 48109 + ... + 55938.

It is an arithmetic number, because the mean of its divisors is an integer number (23410800).

Almost surely, 2^407344005 is an apocalyptic number.

407344005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407344005 is a deficient number, since it is larger than the sum of its proper divisors (341801595).

407344005 is a wasteful number, since it uses less digits than its factorization.

407344005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104090 (or 104084 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 407344005 is about 20182.7650484268. The cubic root of 407344005 is about 741.2882387636.

Adding to 407344005 its reverse (500443704), we get a palindrome (907787709).

The spelling of 407344005 in words is "four hundred seven million, three hundred forty-four thousand, five".