4259707920 has 320 divisors, whose sum is σ = 16348953600. Its totient is φ = 1012193280.

The previous prime is 4259707919. The next prime is 4259707927. The reversal of 4259707920 is 297079524.

It is a super-2 number, since 2×4259707920² = 36290223127421452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4259707927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 811705 + ... + 816935.

It is an arithmetic number, because the mean of its divisors is an integer number (51090480).

Almost surely, 2^4259707920 is an apocalyptic number.

4259707920 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 4259707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174476800).

4259707920 is an abundant number, since it is smaller than the sum of its proper divisors (12089245680).

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

4259707920 is a wasteful number, since it uses less digits than its factorization.

4259707920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5283 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4259707920 is about 65266.4379294596. The cubic root of 4259707920 is about 1621.0382918709.

The spelling of 4259707920 in words is "four billion, two hundred fifty-nine million, seven hundred seven thousand, nine hundred twenty".