4200405300 has 216 divisors, whose sum is σ = 16204546176. Its totient is φ = 886222080.

The previous prime is 4200405299. The next prime is 4200405311. The reversal of 4200405300 is 35040024.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56257 + ... + 107543.

Almost surely, 2^4200405300 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 4200405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102273088).

4200405300 is an abundant number, since it is smaller than the sum of its proper divisors (12004140876).

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

4200405300 is a wasteful number, since it uses less digits than its factorization.

4200405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51327 (or 51317 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4200405300 is about 64810.5338660314. The cubic root of 4200405300 is about 1613.4805429767.

Adding to 4200405300 its reverse (35040024), we get a palindrome (4235445324).

The spelling of 4200405300 in words is "four billion, two hundred million, four hundred five thousand, three hundred".