462768 has 40 divisors (see below), whose sum is σ = 1238016. Its totient is φ = 148800.

The previous prime is 462739. The next prime is 462773. The reversal of 462768 is 867264.

462768 is nontrivially palindromic in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 462768.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 1643.

2⁴⁶²⁷⁶⁸ is an apocalyptic number.

462768 is a gapful number since it is divisible by the number (48) 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 462768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619008).

462768 is an abundant number, since it is smaller than the sum of its proper divisors (775248).

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

462768 is a wasteful number, since it uses less digits than its factorization.

462768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 462768 is about 680.2705344199. The cubic root of 462768 is about 77.3489531139.

Subtracting 462768 from its reverse (867264), we obtain a square (404496 = 636²).

The spelling of 462768 in words is "four hundred sixty-two thousand, seven hundred sixty-eight".