420560 has 40 divisors (see below), whose sum is σ = 1118976. Its totient is φ = 144000.

The previous prime is 420557. The next prime is 420569. The reversal of 420560 is 65024.

It is a tau number, because it is divible by the number of its divisors (40).

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 420560.

It is not an unprimeable number, because it can be changed into a prime (420569) 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, 185 + ... + 935.

2⁴²⁰⁵⁶⁰ is an apocalyptic number.

420560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559488).

420560 is an abundant number, since it is smaller than the sum of its proper divisors (698416).

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

420560 is a wasteful number, since it uses less digits than its factorization.

420560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 420560 is about 648.5059753002. The cubic root of 420560 is about 74.9219929676.

Adding to 420560 its reverse (65024), we get a palindrome (485584).

The spelling of 420560 in words is "four hundred twenty thousand, five hundred sixty".