407493 has 12 divisors (see below), whose sum is σ = 619840. Its totient is φ = 257256.

The previous prime is 407489. The next prime is 407501. The reversal of 407493 is 394704.

It is not a de Polignac number, because 407493 - 2² = 407489 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

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 407493.

It is not an unprimeable number, because it can be changed into a prime (407483) 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 11 ways as a sum of consecutive naturals, for example, 1021 + ... + 1362.

2⁴⁰⁷⁴⁹³ is an apocalyptic number.

It is an amenable number.

407493 is a deficient number, since it is larger than the sum of its proper divisors (212347).

407493 is a wasteful number, since it uses less digits than its factorization.

407493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2405 counting only the distinct ones).

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

The square root of 407493 is about 638.3517838935. The cubic root of 407493 is about 74.1378608554.

It can be divided in two parts, 407 and 493, that added together give a square (900 = 30²).

The spelling of 407493 in words is "four hundred seven thousand, four hundred ninety-three".