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BaseRepresentation
bin111010000
3122012
413100
53324
62052
71232
oct720
9565
10464
11392
12328
13299
14252
1520e
hex1d0

464 has 10 divisors (see below), whose sum is σ = 930. Its totient is φ = 224.

The previous prime is 463. The next prime is 467.

Multipling 464 by its product of digits (96), we get a palindrome (44544).

It can be divided in two parts, 4 and 64, that multiplied together give a 8-th power (256 = 28).

It is a happy number.

464 is nontrivially palindromic in base 9, base 10 and base 14.

464 is an esthetic number in base 7 and base 9, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 400 + 64 = 20^2 + 8^2 .

464 is an undulating number in base 9, base 10 and base 14.

It is a plaindrome in base 13.

It is a nialpdrome in base 8.

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 as a sum of consecutive naturals, namely, 2 + ... + 30.

It is an arithmetic number, because the mean of its divisors is an integer number (93).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465).

464 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

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

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

The sum of its prime factors is 37 (or 31 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 464 is about 21.5406592285. The cubic root of 464 is about 7.7417532813.

The spelling of 464 in words is "four hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 58 116 232 464