420725564 has 36 divisors (see below), whose sum is σ = 859637520. Its totient is φ = 179645760.

The previous prime is 420725549. The next prime is 420725573. The reversal of 420725564 is 465527024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51257 + ... + 58895.

It is an arithmetic number, because the mean of its divisors is an integer number (23878820).

Almost surely, 2^420725564 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 420725564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429818760).

420725564 is an abundant number, since it is smaller than the sum of its proper divisors (438911956).

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

420725564 is a wasteful number, since it uses less digits than its factorization.

420725564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7938 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 420725564 is about 20511.5958423522. The cubic root of 420725564 is about 749.3182331872.

The spelling of 420725564 in words is "four hundred twenty million, seven hundred twenty-five thousand, five hundred sixty-four".