420041160 has 256 divisors, whose sum is σ = 1745971200. Its totient is φ = 87264000.

The previous prime is 420041159. The next prime is 420041161. The reversal of 420041160 is 61140024.

It is an interprime number because it is at equal distance from previous prime (420041159) and next prime (420041161).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420041161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80635 + ... + 85685.

It is an arithmetic number, because the mean of its divisors is an integer number (6820200).

Almost surely, 2^420041160 is an apocalyptic number.

420041160 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 420041160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872985600).

420041160 is an abundant number, since it is smaller than the sum of its proper divisors (1325930040).

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

420041160 is a wasteful number, since it uses less digits than its factorization.

420041160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5079 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 420041160 is about 20494.9057084925. The cubic root of 420041160 is about 748.9117015725.

Adding to 420041160 its reverse (61140024), we get a palindrome (481181184).

The spelling of 420041160 in words is "four hundred twenty million, forty-one thousand, one hundred sixty".