463905 has 36 divisors (see below), whose sum is σ = 884988. Its totient is φ = 224640.

The previous prime is 463891. The next prime is 463907. The reversal of 463905 is 509364.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 221841 + 242064 = 471^2 + 492^2 .

It is not a de Polignac number, because 463905 - 2⁴ = 463889 is a prime.

It is a d-powerful number, because it can be written as 4⁴ + 6⁷ + 9⁴ + 3¹¹ + 0 + 5 .

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (463907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7575 + ... + 7635.

It is an arithmetic number, because the mean of its divisors is an integer number (24583).

2⁴⁶³⁹⁰⁵ is an apocalyptic number.

463905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

463905 is a deficient number, since it is larger than the sum of its proper divisors (421083).

463905 is a wasteful number, since it uses less digits than its factorization.

463905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 463905 is about 681.1057186663. The cubic root of 463905 is about 77.4122489278.

The spelling of 463905 in words is "four hundred sixty-three thousand, nine hundred five".