405450 has 72 divisors (see below), whose sum is σ = 1175148. Its totient is φ = 99840.

The previous prime is 405439. The next prime is 405473. The reversal of 405450 is 54504.

It is a happy number.

405450 is nontrivially palindromic in base 7.

405450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

405450 is a nontrivial binomial coefficient, being equal to C(901, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 251001 + 154449 = 501^2 + 393^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

405450 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 35 ways as a sum of consecutive naturals, for example, 7624 + ... + 7676.

2⁴⁰⁵⁴⁵⁰ is an apocalyptic number.

405450 is the 900-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587574).

405450 is an abundant number, since it is smaller than the sum of its proper divisors (769698).

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

405450 is a wasteful number, since it uses less digits than its factorization.

405450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 405450 is about 636.7495583037. The cubic root of 405450 is about 74.0137544435.

Adding to 405450 its reverse (54504), we get a palindrome (459954).

The spelling of 405450 in words is "four hundred five thousand, four hundred fifty".