Search a number
-
+
455409000 = 233353101167
BaseRepresentation
bin11011001001001…
…111110101101000
31011201221011201000
4123021033311220
51413041042000
6113104555000
714166625014
oct3311176550
91151834630
10455409000
11214080582
12108622a60
13734719a7
14446a9544
1529eab000
hex1b24fd68

455409000 has 256 divisors, whose sum is σ = 1603929600. Its totient is φ = 119520000.

The previous prime is 455408969. The next prime is 455409007. The reversal of 455409000 is 904554.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455409007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2726917 + ... + 2727083.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2455409000 is an apocalyptic number.

455409000 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 455409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

455409000 is an abundant number, since it is smaller than the sum of its proper divisors (1148520600).

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

455409000 is a wasteful number, since it uses less digits than its factorization.

455409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 455409000 is about 21340.3139620766. The cubic root of 455409000 is about 769.3675584944.

It can be divided in two parts, 45 and 5409000, that added together give a palindrome (5409045).

The spelling of 455409000 in words is "four hundred fifty-five million, four hundred nine thousand".