420612300 has 216 divisors, whose sum is σ = 1435595616. Its totient is φ = 102574080.

The previous prime is 420612287. The next prime is 420612359. The reversal of 420612300 is 3216024.

It is a happy number.

420612300 is a `hidden beast` number, since 4 + 20 + 612 + 30 + 0 = 666.

It is a super-3 number, since 3×420612300³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 565729 + ... + 566471.

It is an arithmetic number, because the mean of its divisors is an integer number (6646276).

Almost surely, 2^420612300 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 420612300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717797808).

420612300 is an abundant number, since it is smaller than the sum of its proper divisors (1014983316).

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

420612300 is a wasteful number, since it uses less digits than its factorization.

420612300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420612300 is about 20508.8346816683. The cubic root of 420612300 is about 749.2509855522.

Adding to 420612300 its reverse (3216024), we get a palindrome (423828324).

The spelling of 420612300 in words is "four hundred twenty million, six hundred twelve thousand, three hundred".