Search a number
464664 = 233191019
BaseRepresentation
bin1110001011100011000
3212121101210
41301130120
5104332124
613543120
73643464
oct1613430
9777353
10464664
11298122
121a4aa0
13133665
14c14a4
1592a29
hex71718

464664 has 32 divisors (see below), whose sum is σ = 1224000. Its totient is φ = 146592.

The previous prime is 464663. The next prime is 464687. The reversal of 464664 is 466464.

464664 = T137 + T138 + ... + T174.

464664 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464663) 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, 54 + ... + 965.

It is an arithmetic number, because the mean of its divisors is an integer number (38250).

2464664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612000).

464664 is an abundant number, since it is smaller than the sum of its proper divisors (759336).

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

464664 is a wasteful number, since it uses less digits than its factorization.

464664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1043 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 464664 is about 681.6626731749. The cubic root of 464664 is about 77.4544442640.

It can be divided in two parts, 464 and 664, that added together give a triangular number (1128 = T47).

The spelling of 464664 in words is "four hundred sixty-four thousand, six hundred sixty-four".