Search a number
-
+
454480 = 245131923
BaseRepresentation
bin1101110111101010000
3212002102121
41232331100
5104020410
613424024
73602005
oct1567520
9762377
10454480
11290504
1219b014
1312bb30
14bb8ac
158e9da
hex6ef50

454480 has 80 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 152064.

The previous prime is 454453. The next prime is 454483. The reversal of 454480 is 84454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454483) by changing a digit.

454480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 19749 + ... + 19771.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2454480 is an apocalyptic number.

454480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

454480 is an abundant number, since it is smaller than the sum of its proper divisors (795440).

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

454480 is a wasteful number, since it uses less digits than its factorization.

454480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 454480 is about 674.1513183255. The cubic root of 454480 is about 76.8844051771.

It can be divided in two parts, 4544 and 80, that added together give a square (4624 = 682).

The spelling of 454480 in words is "four hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 23 26 38 40 46 52 65 76 80 92 95 104 115 130 152 184 190 208 230 247 260 299 304 368 380 437 460 494 520 598 760 874 920 988 1040 1196 1235 1495 1520 1748 1840 1976 2185 2392 2470 2990 3496 3952 4370 4784 4940 5681 5980 6992 8740 9880 11362 11960 17480 19760 22724 23920 28405 34960 45448 56810 90896 113620 227240 454480