460 has 12 divisors (see below), whose sum is σ = 1008. Its totient is φ = 176.

The previous prime is 457. The next prime is 461. The reversal of 460 is 64.

Adding to 460 its product of nonzero digits (24), we get a palindrome (484).

It can be divided in two parts, 4 and 60, that added together give a 6-th power (64 = 2^{6}).

460 = T_{11} + T_{12} + ... +
T_{15}.

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

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 7, base 11, base 14 and base 16.

It is a nialpdrome in base 5.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 31.

It is an arithmetic number, because the mean of its divisors is an integer number (84).

460 is the 18-th centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504).

460 is an abundant number, since it is smaller than the sum of its proper divisors (548).

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

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

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

The sum of its prime factors is 32 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 460 is about 21.4476105895. The cubic root of 460 is about 7.7194426294.

The spelling of 460 in words is "four hundred sixty", and thus it is an aban number.

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