420816 has 40 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 127360.

The previous prime is 420811. The next prime is 420851. The reversal of 420816 is 618024.

It is a super-2 number, since 2×420816² = 354172211712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420792 and 420801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420811) by changing a digit.

420816 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 7 ways as a sum of consecutive naturals, for example, 130 + ... + 926.

2⁴²⁰⁸¹⁶ 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 420816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712).

420816 is an abundant number, since it is smaller than the sum of its proper divisors (766608).

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

420816 is a wasteful number, since it uses less digits than its factorization.

420816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 420816 is about 648.7033220202. The cubic root of 420816 is about 74.9371918610.

It can be divided in two parts, 4208 and 16, that added together give a palindrome (4224).

The spelling of 420816 in words is "four hundred twenty thousand, eight hundred sixteen".