462468 has 24 divisors (see below), whose sum is σ = 1143072. Its totient is φ = 145024.

The previous prime is 462467. The next prime is 462481. The reversal of 462468 is 864264.

It is a super-3 number, since 3×462468³ = 296733321137301696, which contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462468.

It is not an unprimeable number, because it can be changed into a prime (462467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930 + ... + 1337.

It is an arithmetic number, because the mean of its divisors is an integer number (47628).

2⁴⁶²⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

462468 is an abundant number, since it is smaller than the sum of its proper divisors (680604).

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

462468 is a wasteful number, since it uses less digits than its factorization.

462468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2289 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 462468 is about 680.0499981619. The cubic root of 462468 is about 77.3322350881.

It can be divided in two parts, 4624 and 68, that multiplied together give a cube (314432 = 68³).

The spelling of 462468 in words is "four hundred sixty-two thousand, four hundred sixty-eight".