428463 has 16 divisors (see below), whose sum is σ = 725760. Its totient is φ = 244728.

The previous prime is 428429. The next prime is 428471. The reversal of 428463 is 364824.

It is not a de Polignac number, because 428463 - 2⁹ = 427951 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 4⁴ + 2¹⁷ + 4⁹ + 8⁵ + 6² + 3⁷ .

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428473) 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 15 ways as a sum of consecutive naturals, for example, 945 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (45360).

2⁴²⁸⁴⁶³ is an apocalyptic number.

428463 is a deficient number, since it is larger than the sum of its proper divisors (297297).

428463 is a wasteful number, since it uses less digits than its factorization.

428463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2277 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 428463 is about 654.5708517800. The cubic root of 428463 is about 75.3883852865.

It can be divided in two parts, 42846 and 3, that added together give a square (42849 = 207²).

The spelling of 428463 in words is "four hundred twenty-eight thousand, four hundred sixty-three".