407693 has 8 divisors (see below), whose sum is σ = 479136. Its totient is φ = 342000.

The previous prime is 407669. The next prime is 407699. The reversal of 407693 is 396704.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 407693 - 2⁸ = 407437 is a prime.

It is a Duffinian number.

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 407693.

It is not an unprimeable number, because it can be changed into a prime (407699) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1283 + ... + 1568.

It is an arithmetic number, because the mean of its divisors is an integer number (59892).

2⁴⁰⁷⁶⁹³ is an apocalyptic number.

It is an amenable number.

407693 is a deficient number, since it is larger than the sum of its proper divisors (71443).

407693 is a wasteful number, since it uses less digits than its factorization.

407693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 407693 is about 638.5084181121. The cubic root of 407693 is about 74.1499879734.

It can be divided in two parts, 40 and 7693, that multiplied together give a triangular number (307720 = T₇₈₄).

The spelling of 407693 in words is "four hundred seven thousand, six hundred ninety-three".