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455800 = 23524353
BaseRepresentation
bin1101111010001111000
3212011020111
41233101320
5104041200
613434104
73605602
oct1572170
9764214
10455800
112914a4
1219b934
1312c607
14bc172
15900ba
hex6f478

455800 has 48 divisors (see below), whose sum is σ = 1104840. Its totient is φ = 174720.

The previous prime is 455789. The next prime is 455809. The reversal of 455800 is 8554.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455809) by changing a digit.

455800 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 11 ways as a sum of consecutive naturals, for example, 8574 + ... + 8626.

2455800 is an apocalyptic number.

455800 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 455800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552420).

455800 is an abundant number, since it is smaller than the sum of its proper divisors (649040).

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

455800 is a wasteful number, since it uses less digits than its factorization.

455800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 455800 is about 675.1296171847. The cubic root of 455800 is about 76.9587680527.

The spelling of 455800 in words is "four hundred fifty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 53 86 100 106 172 200 212 215 265 344 424 430 530 860 1060 1075 1325 1720 2120 2150 2279 2650 4300 4558 5300 8600 9116 10600 11395 18232 22790 45580 56975 91160 113950 227900 455800