407349 has 20 divisors (see below), whose sum is σ = 627264. Its totient is φ = 263304.

The previous prime is 407347. The next prime is 407357. The reversal of 407349 is 943704.

It is not a de Polignac number, because 407349 - 2¹ = 407347 is a prime.

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

It is a Curzon number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3754 + ... + 3860.

2⁴⁰⁷³⁴⁹ is an apocalyptic number.

It is an amenable number.

407349 is a deficient number, since it is larger than the sum of its proper divisors (219915).

407349 is a wasteful number, since it uses less digits than its factorization.

407349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 407349 is about 638.2389834537. The cubic root of 407349 is about 74.1291268733.

The spelling of 407349 in words is "four hundred seven thousand, three hundred forty-nine".