420164112 has 80 divisors (see below), whose sum is σ = 1154926080. Its totient is φ = 131168256.

The previous prime is 420164099. The next prime is 420164113. The reversal of 420164112 is 211461024.

It is a happy number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (420164113) 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, 180814 + ... + 183122.

It is an arithmetic number, because the mean of its divisors is an integer number (14436576).

Almost surely, 2^420164112 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 420164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577463040).

420164112 is an abundant number, since it is smaller than the sum of its proper divisors (734761968).

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

420164112 is a wasteful number, since it uses less digits than its factorization.

420164112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2560 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 420164112 is about 20497.9050636888. The cubic root of 420164112 is about 748.9847667999.

The spelling of 420164112 in words is "four hundred twenty million, one hundred sixty-four thousand, one hundred twelve".