462760 has 32 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 176704.

The previous prime is 462739. The next prime is 462773. The reversal of 462760 is 67264.

It is an unprimeable number.

462760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁴⁶²⁷⁶⁰ is an apocalyptic number.

462760 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 462760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

462760 is an abundant number, since it is smaller than the sum of its proper divisors (625880).

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

462760 is a wasteful number, since it uses less digits than its factorization.

462760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 462760 is about 680.2646543809. The cubic root of 462760 is about 77.3485073937.

The spelling of 462760 in words is "four hundred sixty-two thousand, seven hundred sixty".