407407 has 24 divisors (see below), whose sum is σ = 566048. Its totient is φ = 285120.

The previous prime is 407401. The next prime is 407437. The reversal of 407407 is 704704.

It is a happy number.

It is not a de Polignac number, because 407407 - 2¹⁵ = 374639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10993 + ... + 11029.

2⁴⁰⁷⁴⁰⁷ is an apocalyptic number.

407407 is a deficient number, since it is larger than the sum of its proper divisors (158641).

407407 is a wasteful number, since it uses less digits than its factorization.

407407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 407407 is about 638.2844193618. The cubic root of 407407 is about 74.1326449747.

Adding to 407407 its reverse (704704), we get a palindrome (1112111).

It can be divided in two parts, 40 and 7407, that added together give a palindrome (7447).

The spelling of 407407 in words is "four hundred seven thousand, four hundred seven", and thus it is an iban number.