420214340 has 96 divisors (see below), whose sum is σ = 1090763520. Its totient is φ = 132420096.

The previous prime is 420214303. The next prime is 420214349. The reversal of 420214340 is 43412024.

420214340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (420214349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678551 + ... + 679169.

It is an arithmetic number, because the mean of its divisors is an integer number (11362120).

Almost surely, 2^420214340 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 420214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545381760).

420214340 is an abundant number, since it is smaller than the sum of its proper divisors (670549180).

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

420214340 is a wasteful number, since it uses less digits than its factorization.

420214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 420214340 is about 20499.1302254510. The cubic root of 420214340 is about 749.0146110971.

Adding to 420214340 its reverse (43412024), we get a palindrome (463626364).

The spelling of 420214340 in words is "four hundred twenty million, two hundred fourteen thousand, three hundred forty".