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464625 = 3253759
BaseRepresentation
bin1110001011011110001
3212121100100
41301123301
5104332000
613543013
73643410
oct1613361
9777310
10464625
11298097
121a4a69
13133635
14c1477
1592a00
hex716f1

464625 has 48 divisors (see below), whose sum is σ = 973440. Its totient is φ = 208800.

The previous prime is 464621. The next prime is 464647. The reversal of 464625 is 526464.

It is a happy number.

It is not a de Polignac number, because 464625 - 22 = 464621 is a prime.

It is a Curzon number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 464625.

It is not an unprimeable number, because it can be changed into a prime (464621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7846 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (20280).

2464625 is an apocalyptic number.

464625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464625 is an abundant number, since it is smaller than the sum of its proper divisors (508815).

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

464625 is a wasteful number, since it uses less digits than its factorization.

464625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 464625 is about 681.6340660501. The cubic root of 464625 is about 77.4522772445.

It can be divided in two parts, 464 and 625, that added together give a square (1089 = 332).

The spelling of 464625 in words is "four hundred sixty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 59 63 75 105 125 175 177 225 295 315 375 413 525 531 875 885 1125 1239 1475 1575 2065 2625 2655 3717 4425 6195 7375 7875 10325 13275 18585 22125 30975 51625 66375 92925 154875 464625