463641 has 8 divisors (see below), whose sum is σ = 654624. Its totient is φ = 290880.

The previous prime is 463633. The next prime is 463643. The reversal of 463641 is 146364.

463641 = T₂₂₅ + T₂₂₆ + ... + T₂₄₁.

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

It is not a de Polignac number, because 463641 - 2³ = 463633 is a prime.

463641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (463643) 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, 4495 + ... + 4596.

It is an arithmetic number, because the mean of its divisors is an integer number (81828).

2⁴⁶³⁶⁴¹ is an apocalyptic number.

It is an amenable number.

463641 is a deficient number, since it is larger than the sum of its proper divisors (190983).

463641 is a wasteful number, since it uses less digits than its factorization.

463641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111.

The product of its digits is 1728, while the sum is 24.

The square root of 463641 is about 680.9118885730. The cubic root of 463641 is about 77.3975615013.

The spelling of 463641 in words is "four hundred sixty-three thousand, six hundred forty-one".