420414300 has 252 divisors, whose sum is σ = 1404111520. Its totient is φ = 109175040.

The previous prime is 420414289. The next prime is 420414307. The reversal of 420414300 is 3414024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420414307) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 5321661 + ... + 5321739.

Almost surely, 2^420414300 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 420414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702055760).

420414300 is an abundant number, since it is smaller than the sum of its proper divisors (983697220).

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

420414300 is a wasteful number, since it uses less digits than its factorization.

420414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

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

The square root of 420414300 is about 20504.0069254768. The cubic root of 420414300 is about 749.1333990561.

Adding to 420414300 its reverse (3414024), we get a palindrome (423828324).

The spelling of 420414300 in words is "four hundred twenty million, four hundred fourteen thousand, three hundred".