420035600 has 60 divisors (see below), whose sum is σ = 1028227716. Its totient is φ = 164835840.

The previous prime is 420035599. The next prime is 420035617. The reversal of 420035600 is 6530024.

420035600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 62220544 + 357815056 = 7888^2 + 18916^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11294 + ... + 31106.

Almost surely, 2^420035600 is an apocalyptic number.

420035600 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 420035600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514113858).

420035600 is an abundant number, since it is smaller than the sum of its proper divisors (608192116).

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

420035600 is a wasteful number, since it uses less digits than its factorization.

420035600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19884 (or 19873 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 420035600 is about 20494.7700645799. The cubic root of 420035600 is about 748.9083971603.

Adding to 420035600 its reverse (6530024), we get a palindrome (426565624).

The spelling of 420035600 in words is "four hundred twenty million, thirty-five thousand, six hundred".