420066396 has 72 divisors (see below), whose sum is σ = 1129971024. Its totient is φ = 131120640.

The previous prime is 420066389. The next prime is 420066407. The reversal of 420066396 is 693660024.

420066396 is a `hidden beast` number, since 4 + 200 + 66 + 396 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420066396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127506 + ... + 130758.

It is an arithmetic number, because the mean of its divisors is an integer number (15694042).

Almost surely, 2^420066396 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 420066396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564985512).

420066396 is an abundant number, since it is smaller than the sum of its proper divisors (709904628).

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

420066396 is a wasteful number, since it uses less digits than its factorization.

420066396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 420066396 is about 20495.5213644347. The cubic root of 420066396 is about 748.9266994339.

The spelling of 420066396 in words is "four hundred twenty million, sixty-six thousand, three hundred ninety-six".