4205838400 has 42 divisors (see below), whose sum is σ = 10348995050. Its totient is φ = 1682334720.

The previous prime is 4205838391. The next prime is 4205838401. The reversal of 4205838400 is 48385024.

It can be written as a sum of positive squares in 3 ways, for example, as 429981696 + 3775856704 = 20736^2 + 61448^2 .

It is not an unprimeable number, because it can be changed into a prime (4205838401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1312725 + ... + 1315924.

Almost surely, 2^4205838400 is an apocalyptic number.

4205838400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205838400 is an abundant number, since it is smaller than the sum of its proper divisors (6143156650).

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

4205838400 is a wasteful number, since it uses less digits than its factorization.

4205838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628671 (or 2628656 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 4205838400 is about 64852.4355749266. The cubic root of 4205838400 is about 1614.1759063697.

The spelling of 4205838400 in words is "four billion, two hundred five million, eight hundred thirty-eight thousand, four hundred".