407663 has 8 divisors (see below), whose sum is σ = 427056. Its totient is φ = 388800.

The previous prime is 407657. The next prime is 407669. The reversal of 407663 is 366704.

It is an interprime number because it is at equal distance from previous prime (407657) and next prime (407669).

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 407663 - 2⁶ = 407599 is a prime.

It is an Ulam 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 407663.

It is not an unprimeable number, because it can be changed into a prime (407669) 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 7 ways as a sum of consecutive naturals, for example, 2420 + ... + 2582.

It is an arithmetic number, because the mean of its divisors is an integer number (53382).

2⁴⁰⁷⁶⁶³ is an apocalyptic number.

407663 is a deficient number, since it is larger than the sum of its proper divisors (19393).

407663 is a wasteful number, since it uses less digits than its factorization.

407663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265.

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 407663 is about 638.4849254289. The cubic root of 407663 is about 74.1481691586.

The spelling of 407663 in words is "four hundred seven thousand, six hundred sixty-three".