4205260800 has 702 divisors, whose sum is σ = 16914185652. Its totient is φ = 1035141120.

The previous prime is 4205260799. The next prime is 4205260831. The reversal of 4205260800 is 80625024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4205260800 is a `hidden beast` number, since 4 + 2 + 0 + 52 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (702).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12 and base 16.

It is a zygodrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 323481594 + ... + 323481606.

Almost surely, 2^4205260800 is an apocalyptic number.

4205260800 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 4205260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457092826).

4205260800 is an abundant number, since it is smaller than the sum of its proper divisors (12708924852).

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

4205260800 is an equidigital number, since it uses as much as digits as its factorization.

4205260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4205260800 is about 64847.9822353788. The cubic root of 4205260800 is about 1614.1020098320.

Multiplying 4205260800 by its sum of digits (27), we get a square (113542041600 = 336960²).

4205260800 divided by its sum of digits (27) gives a square (155750400 = 12480²).

Adding to 4205260800 its reverse (80625024), we get a palindrome (4285885824).

The spelling of 4205260800 in words is "four billion, two hundred five million, two hundred sixty thousand, eight hundred".