405000 has 100 divisors (see below), whose sum is σ = 1417515. Its totient is φ = 108000.
The previous prime is 404983. The next prime is 405001. The reversal of 405000 is 504.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 3 ways, for example, as 93636 + 311364 = 306^2 + 558^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=450.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a plaindrome in base 13.
It is a nialpdrome in base 15.
It is not an unprimeable number, because it can be changed into a prime (405001) by changing a digit.
405000 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 (7) of ones.
It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 80998 + ... + 81002.
2405000 is an apocalyptic number.
405000 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 405000
405000 is an abundant number, since it is smaller than the sum of its proper divisors (1012515).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
405000 is an equidigital number, since it uses as much as digits as its factorization.
405000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 38 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 20, while the sum is 9.
The square root of 405000 is about 636.3961030679. The cubic root of 405000 is about 73.9863622299.
Adding to 405000 its reverse (504), we get a palindrome (405504).
Subtracting from 405000 its reverse (504), we obtain a square (404496 = 6362).
The spelling of 405000 in words is "four hundred five thousand".
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