420160 has 56 divisors (see below), whose sum is σ = 1088136. Its totient is φ = 153600.

The previous prime is 420149. The next prime is 420163. The reversal of 420160 is 61024.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 350464 = 264^2 + 592^2 .

It is a hoax number, since the sum of its digits (13) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 420160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4110 + ... + 4210.

It is an arithmetic number, because the mean of its divisors is an integer number (19431).

2⁴²⁰¹⁶⁰ is an apocalyptic number.

420160 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 420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544068).

420160 is an abundant number, since it is smaller than the sum of its proper divisors (667976).

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

420160 is a wasteful number, since it uses less digits than its factorization.

420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 420160 is about 648.1975007665. The cubic root of 420160 is about 74.8982323441.

Adding to 420160 its reverse (61024), we get a palindrome (481184).

It can be divided in two parts, 4 and 20160, that added together give a square (20164 = 142²).

The spelling of 420160 in words is "four hundred twenty thousand, one hundred sixty".