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462 = 23711

462 has 16 divisors (see below), whose sum is σ = 1152. Its totient is φ = 120.

The previous prime is 461. The next prime is 463. The reversal of 462 is 264.

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

462 is a nontrivial binomial coefficient, being equal to C(11, 5).

It is an interprime number because it is at equal distance from previous prime (461) and next prime (463).

It is a super-3 number, since 3×4623 = 295833384, which contains 333 as substring.

462 is an idoneal number.

It is a plaindrome in base 16.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 47.

It is an arithmetic number, because the mean of its divisors is an integer number (72).

462 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 21×22.

It is a practical number, because each smaller number is the sum of distinct divisors of 462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576).

462 is an abundant number, since it is smaller than the sum of its proper divisors (690).

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

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

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

The sum of its prime factors is 23.

The product of its digits is 48, while the sum is 12.

The square root of 462 is about 21.4941852602. The cubic root of 462 is about 7.7306140525.

Adding to 462 its sum of digits (12), we get a palindrome (474).

Subtracting from 462 its product of digits (48), we obtain a palindrome (414).

It can be divided in two parts, 4 and 62, that added together give a palindrome (66).

The spelling of 462 in words is "four hundred sixty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462