420546 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 103680.

The previous prime is 420521. The next prime is 420551. The reversal of 420546 is 645024.

It is a happy number.

420546 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

420546 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13551 + ... + 13581.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2⁴²⁰⁵⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

420546 is an abundant number, since it is smaller than the sum of its proper divisors (685374).

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

420546 is a wasteful number, since it uses less digits than its factorization.

420546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 420546 is about 648.4951811695. The cubic root of 420546 is about 74.9211616002.

The spelling of 420546 in words is "four hundred twenty thousand, five hundred forty-six".