4205213200 has 60 divisors (see below), whose sum is σ = 10274320080. Its totient is φ = 1653566080.

The previous prime is 4205213197. The next prime is 4205213203. The reversal of 4205213200 is 23125024.

4205213200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4205213197) and next prime (4205213203).

It is not an unprimeable number, because it can be changed into a prime (4205213203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65494 + ... + 112693.

It is an arithmetic number, because the mean of its divisors is an integer number (171238668).

Almost surely, 2^4205213200 is an apocalyptic number.

4205213200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205213200 is an abundant number, since it is smaller than the sum of its proper divisors (6069106880).

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

4205213200 is a wasteful number, since it uses less digits than its factorization.

4205213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178264 (or 178253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4205213200 is about 64847.6152221498. The cubic root of 4205213200 is about 1614.0959197186.

Adding to 4205213200 its reverse (23125024), we get a palindrome (4228338224).

The spelling of 4205213200 in words is "four billion, two hundred five million, two hundred thirteen thousand, two hundred".