420741568 has 112 divisors (see below), whose sum is σ = 963192384. Its totient is φ = 180633600.

The previous prime is 420741539. The next prime is 420741569. The reversal of 420741568 is 865147024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420741569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2135646 + ... + 2135842.

It is an arithmetic number, because the mean of its divisors is an integer number (8599932).

Almost surely, 2^420741568 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 420741568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481596192).

420741568 is an abundant number, since it is smaller than the sum of its proper divisors (542450816).

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

420741568 is a wasteful number, since it uses less digits than its factorization.

420741568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 420741568 is about 20511.9859594336. The cubic root of 420741568 is about 749.3277341842.

The spelling of 420741568 in words is "four hundred twenty million, seven hundred forty-one thousand, five hundred sixty-eight".