420308 has 24 divisors (see below), whose sum is σ = 891072. Its totient is φ = 169344.

The previous prime is 420307. The next prime is 420313. The reversal of 420308 is 803024.

It is a super-3 number, since 3×420308³ = 222753339473574336, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (37128).

2⁴²⁰³⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536).

420308 is an abundant number, since it is smaller than the sum of its proper divisors (470764).

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

420308 is a wasteful number, since it uses less digits than its factorization.

420308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 420308 is about 648.3116534507. The cubic root of 420308 is about 74.9070255317.

The spelling of 420308 in words is "four hundred twenty thousand, three hundred eight".