420035200 has 192 divisors, whose sum is σ = 1168675200. Its totient is φ = 148008960.

The previous prime is 420035191. The next prime is 420035207. The reversal of 420035200 is 2530024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (420035207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956581 + ... + 957019.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2^420035200 is an apocalyptic number.

420035200 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 420035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584337600).

420035200 is an abundant number, since it is smaller than the sum of its proper divisors (748640000).

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

420035200 is a wasteful number, since it uses less digits than its factorization.

420035200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 420035200 is about 20494.7603059904. The cubic root of 420035200 is about 748.9081594317.

Adding to 420035200 its reverse (2530024), we get a palindrome (422565224).

The spelling of 420035200 in words is "four hundred twenty million, thirty-five thousand, two hundred".