408004407 has 24 divisors (see below), whose sum is σ = 609991200. Its totient is φ = 262609920.

The previous prime is 408004381. The next prime is 408004409. The reversal of 408004407 is 704400804.

It is not a de Polignac number, because 408004407 - 2⁶ = 408004343 is a prime.

It is a super-2 number, since 2×408004407² = 332935192262843298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408004409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30094 + ... + 41492.

It is an arithmetic number, because the mean of its divisors is an integer number (25416300).

Almost surely, 2^408004407 is an apocalyptic number.

408004407 is a deficient number, since it is larger than the sum of its proper divisors (201986793).

408004407 is a wasteful number, since it uses less digits than its factorization.

408004407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11543 (or 11540 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 408004407 is about 20199.1189659351. The cubic root of 408004407 is about 741.6886242766.

The spelling of 408004407 in words is "four hundred eight million, four thousand, four hundred seven".