463464 has 48 divisors (see below), whose sum is σ = 1294020. Its totient is φ = 149760.

The previous prime is 463459. The next prime is 463483. The reversal of 463464 is 464364.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 66564 = 630^2 + 258^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2874 + ... + 3030.

2⁴⁶³⁴⁶⁴ 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 463464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647010).

463464 is an abundant number, since it is smaller than the sum of its proper divisors (830556).

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

463464 is a wasteful number, since it uses less digits than its factorization.

463464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 463464 is about 680.7819034023. The cubic root of 463464 is about 77.3877111271.

Subtracting 463464 from its reverse (464364), we obtain a square (900 = 30²).

The spelling of 463464 in words is "four hundred sixty-three thousand, four hundred sixty-four".