420230400 has 216 divisors, whose sum is σ = 1421888160. Its totient is φ = 109240320.

The previous prime is 420230381. The next prime is 420230441. The reversal of 420230400 is 4032024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420230400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 825346 + ... + 825854.

Almost surely, 2^420230400 is an apocalyptic number.

420230400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710944080).

420230400 is an abundant number, since it is smaller than the sum of its proper divisors (1001657760).

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

420230400 is a wasteful number, since it uses less digits than its factorization.

420230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 420230400 is about 20499.5219456455. The cubic root of 420230400 is about 749.0241530699.

Adding to 420230400 its reverse (4032024), we get a palindrome (424262424).

The spelling of 420230400 in words is "four hundred twenty million, two hundred thirty thousand, four hundred".