4257258720 has 384 divisors, whose sum is σ = 15891240960. Its totient is φ = 950077440.

The previous prime is 4257258703. The next prime is 4257258721. The reversal of 4257258720 is 278527524.

4257258720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257258721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11599977 + ... + 11600343.

It is an arithmetic number, because the mean of its divisors is an integer number (41383440).

Almost surely, 2^4257258720 is an apocalyptic number.

4257258720 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 4257258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945620480).

4257258720 is an abundant number, since it is smaller than the sum of its proper divisors (11633982240).

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

4257258720 is a wasteful number, since it uses less digits than its factorization.

4257258720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 42.

The square root of 4257258720 is about 65247.6721423837. The cubic root of 4257258720 is about 1620.7275500528.

The spelling of 4257258720 in words is "four billion, two hundred fifty-seven million, two hundred fifty-eight thousand, seven hundred twenty".