334407 has 16 divisors (see below), whose sum is σ = 483840. Its totient is φ = 204672.

The previous prime is 334403. The next prime is 334421. The reversal of 334407 is 704433.

It is not a de Polignac number, because 334407 - 2² = 334403 is a prime.

It is a super-2 number, since 2×334407² = 223656083298, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 334407.

It is not an unprimeable number, because it can be changed into a prime (334403) 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, 3988 + ... + 4070.

It is an arithmetic number, because the mean of its divisors is an integer number (30240).

2³³⁴⁴⁰⁷ is an apocalyptic number.

334407 is a deficient number, since it is larger than the sum of its proper divisors (149433).

334407 is a wasteful number, since it uses less digits than its factorization.

334407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 334407 is about 578.2793442619. The cubic root of 334407 is about 69.4104915387.

It can be divided in two parts, 334 and 407, that added together give a triangular number (741 = T₃₈).

The spelling of 334407 in words is "three hundred thirty-four thousand, four hundred seven".