420631200 has 432 divisors, whose sum is σ = 1667143296. Its totient is φ = 98918400.

The previous prime is 420631163. The next prime is 420631217. The reversal of 420631200 is 2136024.

It is a happy number.

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, 3722344 + ... + 3722456.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^420631200 is an apocalyptic number.

420631200 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 420631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

420631200 is an abundant number, since it is smaller than the sum of its proper divisors (1246512096).

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

420631200 is a wasteful number, since it uses less digits than its factorization.

420631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

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

The square root of 420631200 is about 20509.2954535255. The cubic root of 420631200 is about 749.2622077882.

Adding to 420631200 its reverse (2136024), we get a palindrome (422767224).

The spelling of 420631200 in words is "four hundred twenty million, six hundred thirty-one thousand, two hundred".