4206403600 has 120 divisors (see below), whose sum is σ = 11948074560. Its totient is φ = 1392437760.

The previous prime is 4206403589. The next prime is 4206403601. The reversal of 4206403600 is 63046024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4206403601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 55299 + ... + 107101.

It is an arithmetic number, because the mean of its divisors is an integer number (99567288).

Almost surely, 2^4206403600 is an apocalyptic number.

4206403600 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 4206403600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974037280).

4206403600 is an abundant number, since it is smaller than the sum of its proper divisors (7741670960).

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

4206403600 is a wasteful number, since it uses less digits than its factorization.

4206403600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51857 (or 51846 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4206403600 is about 64856.7930135310. The cubic root of 4206403600 is about 1614.2482099368.

Adding to 4206403600 its reverse (63046024), we get a palindrome (4269449624).

The spelling of 4206403600 in words is "four billion, two hundred six million, four hundred three thousand, six hundred".