420510564 has 108 divisors (see below), whose sum is σ = 1130455872. Its totient is φ = 131762400.

The previous prime is 420510547. The next prime is 420510577. The reversal of 420510564 is 465015024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1351969 + ... + 1352279.

It is an arithmetic number, because the mean of its divisors is an integer number (10467184).

Almost surely, 2^420510564 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 420510564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565227936).

420510564 is an abundant number, since it is smaller than the sum of its proper divisors (709945308).

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

420510564 is a wasteful number, since it uses less digits than its factorization.

420510564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 420510564 is about 20506.3542347244. The cubic root of 420510564 is about 749.1905720829.

Adding to 420510564 its reverse (465015024), we get a palindrome (885525588).

The spelling of 420510564 in words is "four hundred twenty million, five hundred ten thousand, five hundred sixty-four".