406963 has 8 divisors (see below), whose sum is σ = 443232. Its totient is φ = 372096.

The previous prime is 406951. The next prime is 406969. The reversal of 406963 is 369604.

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

It is not a de Polignac number, because 406963 - 2¹³ = 398771 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406969) 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, 306 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (55404).

2⁴⁰⁶⁹⁶³ is an apocalyptic number.

406963 is a deficient number, since it is larger than the sum of its proper divisors (36269).

406963 is a wasteful number, since it uses less digits than its factorization.

406963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 406963 is about 637.9365172178. The cubic root of 406963 is about 74.1057047907.

It can be divided in two parts, 406 and 963, that added together give a square (1369 = 37²).

The spelling of 406963 in words is "four hundred six thousand, nine hundred sixty-three".