407463 has 8 divisors (see below), whose sum is σ = 620928. Its totient is φ = 232824.

The previous prime is 407437. The next prime is 407471. The reversal of 407463 is 364704.

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

It is not a de Polignac number, because 407463 - 2⁸ = 407207 is a prime.

407463 is a lucky 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 407463.

It is not an unprimeable number, because it can be changed into a prime (407483) 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, 9681 + ... + 9722.

It is an arithmetic number, because the mean of its divisors is an integer number (77616).

2⁴⁰⁷⁴⁶³ is an apocalyptic number.

407463 is a deficient number, since it is larger than the sum of its proper divisors (213465).

407463 is a wasteful number, since it uses less digits than its factorization.

407463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19413.

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 407463 is about 638.3282854457. The cubic root of 407463 is about 74.1360414455.

It can be divided in two parts, 40 and 7463, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 407463 in words is "four hundred seven thousand, four hundred sixty-three".