463512 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 126720.

The previous prime is 463511. The next prime is 463513. The reversal of 463512 is 215364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (463511) and next prime (463513).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463511) 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, 5164 + ... + 5252.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴⁶³⁵¹² is an apocalyptic number.

463512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

463512 is an abundant number, since it is smaller than the sum of its proper divisors (918888).

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

463512 is a wasteful number, since it uses less digits than its factorization.

463512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 132 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 463512 is about 680.8171560706. The cubic root of 463512 is about 77.3903826629.

Adding to 463512 its reverse (215364), we get a palindrome (678876).

The spelling of 463512 in words is "four hundred sixty-three thousand, five hundred twelve".