420165632 has 48 divisors (see below), whose sum is σ = 845273520. Its totient is φ = 208797696.

The previous prime is 420165623. The next prime is 420165649. The reversal of 420165632 is 236561024.

It is a junction number, because it is equal to n+sod(n) for n = 420165595 and 420165604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 394733 + ... + 395795.

It is an arithmetic number, because the mean of its divisors is an integer number (17609865).

Almost surely, 2^420165632 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 420165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422636760).

420165632 is an abundant number, since it is smaller than the sum of its proper divisors (425107888).

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

420165632 is a wasteful number, since it uses less digits than its factorization.

420165632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 420165632 is about 20497.9421406150. The cubic root of 420165632 is about 748.9856699831.

The spelling of 420165632 in words is "four hundred twenty million, one hundred sixty-five thousand, six hundred thirty-two".