462160 has 40 divisors (see below), whose sum is σ = 1104840. Its totient is φ = 179712.

The previous prime is 462149. The next prime is 462181. The reversal of 462160 is 61264.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 341056 = 348^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

462160 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, 4186 + ... + 4294.

It is an arithmetic number, because the mean of its divisors is an integer number (27621).

2⁴⁶²¹⁶⁰ is an apocalyptic number.

462160 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 462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420).

462160 is an abundant number, since it is smaller than the sum of its proper divisors (642680).

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

462160 is a wasteful number, since it uses less digits than its factorization.

462160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 462160 is about 679.8235065074. The cubic root of 462160 is about 77.3150637249.

It can be divided in two parts, 462 and 160, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 462160 in words is "four hundred sixty-two thousand, one hundred sixty".