463128 has 32 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 147488.

The previous prime is 463103. The next prime is 463157. The reversal of 463128 is 821364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a junction number, because it is equal to n+sod(n) for n = 463098 and 463107.

It is a congruent number.

It is an unprimeable number.

463128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 133 + ... + 971.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁴⁶³¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

463128 is an abundant number, since it is smaller than the sum of its proper divisors (746472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463128 is a wasteful number, since it uses less digits than its factorization.

463128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 867 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 463128 is about 680.5350835923. The cubic root of 463128 is about 77.3690052103.

The spelling of 463128 in words is "four hundred sixty-three thousand, one hundred twenty-eight".