4200530400 has 720 divisors, whose sum is σ = 17150652288. Its totient is φ = 991872000.

The previous prime is 4200530387. The next prime is 4200530417. The reversal of 4200530400 is 40350024.

It is a happy number.

4200530400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50608759 + ... + 50608841.

Almost surely, 2^4200530400 is an apocalyptic number.

4200530400 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 4200530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575326144).

4200530400 is an abundant number, since it is smaller than the sum of its proper divisors (12950121888).

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

4200530400 is a wasteful number, since it uses less digits than its factorization.

4200530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

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

The square root of 4200530400 is about 64811.4989797335. The cubic root of 4200530400 is about 1613.4965608287.

Adding to 4200530400 its reverse (40350024), we get a palindrome (4240880424).

The spelling of 4200530400 in words is "four billion, two hundred million, five hundred thirty thousand, four hundred".