420560003460 has 288 divisors, whose sum is σ = 1266627414528. Its totient is φ = 104152596480.

The previous prime is 420560003449. The next prime is 420560003477. The reversal of 420560003460 is 64300065024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158282452 + ... + 158285108.

It is an arithmetic number, because the mean of its divisors is an integer number (4398011856).

Almost surely, 2^420560003460 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 420560003460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633313707264).

420560003460 is an abundant number, since it is smaller than the sum of its proper divisors (846067411068).

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

420560003460 is a wasteful number, since it uses less digits than its factorization.

420560003460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 420560003460 its reverse (64300065024), we get a palindrome (484860068484).

The spelling of 420560003460 in words is "four hundred twenty billion, five hundred sixty million, three thousand, four hundred sixty".