4257748320 has 384 divisors, whose sum is σ = 16224509952. Its totient is φ = 917913600.

The previous prime is 4257748259. The next prime is 4257748331. The reversal of 4257748320 is 238477524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4270062 + ... + 4271058.

It is an arithmetic number, because the mean of its divisors is an integer number (42251328).

Almost surely, 2^4257748320 is an apocalyptic number.

4257748320 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 4257748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112254976).

4257748320 is an abundant number, since it is smaller than the sum of its proper divisors (11966761632).

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

4257748320 is a wasteful number, since it uses less digits than its factorization.

4257748320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 4257748320 is about 65251.4238925098. The cubic root of 4257748320 is about 1620.7896774955.

The spelling of 4257748320 in words is "four billion, two hundred fifty-seven million, seven hundred forty-eight thousand, three hundred twenty".