420311412 has 144 divisors (see below), whose sum is σ = 1141620480. Its totient is φ = 130201344.

The previous prime is 420311389. The next prime is 420311429. The reversal of 420311412 is 214113024.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3856014 + ... + 3856122.

It is an arithmetic number, because the mean of its divisors is an integer number (7927920).

Almost surely, 2^420311412 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 420311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810240).

420311412 is an abundant number, since it is smaller than the sum of its proper divisors (721309068).

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

420311412 is a wasteful number, since it uses less digits than its factorization.

420311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 420311412 is about 20501.4977989414. The cubic root of 420311412 is about 749.0722822595.

Adding to 420311412 its reverse (214113024), we get a palindrome (634424436).

The spelling of 420311412 in words is "four hundred twenty million, three hundred eleven thousand, four hundred twelve".