420145936 has 80 divisors (see below), whose sum is σ = 985651200. Its totient is φ = 169478784.

The previous prime is 420145877. The next prime is 420145967. The reversal of 420145936 is 639541024.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380361 + ... + 381463.

It is an arithmetic number, because the mean of its divisors is an integer number (12320640).

Almost surely, 2^420145936 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 420145936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492825600).

420145936 is an abundant number, since it is smaller than the sum of its proper divisors (565505264).

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

420145936 is a wasteful number, since it uses less digits than its factorization.

420145936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 420145936 is about 20497.4616965126. The cubic root of 420145936 is about 748.9739664618.

The spelling of 420145936 in words is "four hundred twenty million, one hundred forty-five thousand, nine hundred thirty-six".