420201306 has 96 divisors (see below), whose sum is σ = 1104000768. Its totient is φ = 112907520.

The previous prime is 420201293. The next prime is 420201317. The reversal of 420201306 is 603102024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175590 + ... + 177966.

It is an arithmetic number, because the mean of its divisors is an integer number (11500008).

Almost surely, 2^420201306 is an apocalyptic number.

420201306 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420201306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552000384).

420201306 is an abundant number, since it is smaller than the sum of its proper divisors (683799462).

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

420201306 is a wasteful number, since it uses less digits than its factorization.

420201306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420201306 is about 20498.8123070582. The cubic root of 420201306 is about 749.0068668291.

The spelling of 420201306 in words is "four hundred twenty million, two hundred one thousand, three hundred six".