420354 has 36 divisors (see below), whose sum is σ = 1006278. Its totient is φ = 126720.

The previous prime is 420353. The next prime is 420361. The reversal of 420354 is 453024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 393129 + 27225 = 627^2 + 165^2 .

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

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420354.

It is not an unprimeable number, because it can be changed into a prime (420353) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2082 + ... + 2274.

2⁴²⁰³⁵⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503139).

420354 is an abundant number, since it is smaller than the sum of its proper divisors (585924).

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

420354 is a wasteful number, since it uses less digits than its factorization.

420354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 420354 is about 648.3471292448. The cubic root of 420354 is about 74.9097581289.

Adding to 420354 its reverse (453024), we get a palindrome (873378).

The spelling of 420354 in words is "four hundred twenty thousand, three hundred fifty-four".