420234012 has 288 divisors, whose sum is σ = 1314593280. Its totient is φ = 111767040.

The previous prime is 420233993. The next prime is 420234029. The reversal of 420234012 is 210432024.

420234012 is a `hidden beast` number, since 420 + 234 + 0 + 12 = 666.

It is a super-2 number, since 2×420234012² = 353193249683232288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9772863 + ... + 9772905.

It is an arithmetic number, because the mean of its divisors is an integer number (4564560).

Almost surely, 2^420234012 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 420234012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

420234012 is an abundant number, since it is smaller than the sum of its proper divisors (894359268).

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

420234012 is a wasteful number, since it uses less digits than its factorization.

420234012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420234012 is about 20499.6100450716. The cubic root of 420234012 is about 749.0262990891.

Adding to 420234012 its reverse (210432024), we get a palindrome (630666036).

It can be divided in two parts, 420 and 234012, that added together give a palindrome (234432).

The spelling of 420234012 in words is "four hundred twenty million, two hundred thirty-four thousand, twelve".