463947 has 16 divisors (see below), whose sum is σ = 715392. Its totient is φ = 264320.

The previous prime is 463921. The next prime is 463949. The reversal of 463947 is 749364.

463947 = T₄₃ + T₄₄ + ... + T₁₄₁.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-463947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 4³ + 6⁵ + 9 + 3¹¹ + 4⁹ + 7⁵ .

463947 is a lucky number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 463947.

It is not an unprimeable number, because it can be changed into a prime (463949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (44712).

2⁴⁶³⁹⁴⁷ is an apocalyptic number.

463947 is a deficient number, since it is larger than the sum of its proper divisors (251445).

463947 is a wasteful number, since it uses less digits than its factorization.

463947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858.

The product of its digits is 18144, while the sum is 33.

The square root of 463947 is about 681.1365501865. The cubic root of 463947 is about 77.4145850500.

It can be divided in two parts, 46 and 3947, that added together give a palindrome (3993).

The spelling of 463947 in words is "four hundred sixty-three thousand, nine hundred forty-seven".