4208977920 has 576 divisors, whose sum is σ = 16522047360. Its totient is φ = 895352832.

The previous prime is 4208977859. The next prime is 4208977921. The reversal of 4208977920 is 297798024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4208977920.

It is not an unprimeable number, because it can be changed into a prime (4208977921) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 113756142 + ... + 113756178.

It is an arithmetic number, because the mean of its divisors is an integer number (28684110).

Almost surely, 2^4208977920 is an apocalyptic number.

4208977920 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 4208977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261023680).

4208977920 is an abundant number, since it is smaller than the sum of its proper divisors (12313069440).

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

4208977920 is a wasteful number, since it uses less digits than its factorization.

4208977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 4208977920 is about 64876.6361643389. The cubic root of 4208977920 is about 1614.5774495434.

The spelling of 4208977920 in words is "four billion, two hundred eight million, nine hundred seventy-seven thousand, nine hundred twenty".