462960 has 60 divisors (see below), whose sum is σ = 1557192. Its totient is φ = 123264.

The previous prime is 462953. The next prime is 462983. The reversal of 462960 is 69264.

462960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

462960 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 11 ways as a sum of consecutive naturals, for example, 399 + ... + 1041.

2⁴⁶²⁹⁶⁰ is an apocalyptic number.

462960 is a gapful number since it is divisible by the number (40) 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 462960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778596).

462960 is an abundant number, since it is smaller than the sum of its proper divisors (1094232).

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

462960 is a wasteful number, since it uses less digits than its factorization.

462960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 462960 is about 680.4116401121. The cubic root of 462960 is about 77.3596488589.

The spelling of 462960 in words is "four hundred sixty-two thousand, nine hundred sixty".