4205957420 has 192 divisors, whose sum is σ = 11324759040. Its totient is φ = 1277337600.

The previous prime is 4205957417. The next prime is 4205957449. The reversal of 4205957420 is 247595024.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12706655 + ... + 12706985.

It is an arithmetic number, because the mean of its divisors is an integer number (58983120).

Almost surely, 2^4205957420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4205957420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662379520).

4205957420 is an abundant number, since it is smaller than the sum of its proper divisors (7118801620).

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

4205957420 is a wasteful number, since it uses less digits than its factorization.

4205957420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 4205957420 is about 64853.3531901011. The cubic root of 4205957420 is about 1614.1911326168.

The spelling of 4205957420 in words is "four billion, two hundred five million, nine hundred fifty-seven thousand, four hundred twenty".