420784 has 60 divisors (see below), whose sum is σ = 1065904. Its totient is φ = 156672.

The previous prime is 420781. The next prime is 420799. The reversal of 420784 is 487024.

420784 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is not an unprimeable number, because it can be changed into a prime (420781) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24744 + ... + 24760.

2⁴²⁰⁷⁸⁴ 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 420784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532952).

420784 is an abundant number, since it is smaller than the sum of its proper divisors (645120).

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

420784 is a wasteful number, since it uses less digits than its factorization.

420784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 420784 is about 648.6786569635. The cubic root of 420784 is about 74.9352923364.

The spelling of 420784 in words is "four hundred twenty thousand, seven hundred eighty-four".