4258457280 has 896 divisors, whose sum is σ = 19347240960. Its totient is φ = 855982080.

The previous prime is 4258457233. The next prime is 4258457293. The reversal of 4258457280 is 827548524.

4258457280 is a `hidden beast` number, since 42 + 584 + 5 + 7 + 28 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24615274 + ... + 24615446.

Almost surely, 2^4258457280 is an apocalyptic number.

4258457280 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 4258457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9673620480).

4258457280 is an abundant number, since it is smaller than the sum of its proper divisors (15088783680).

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

4258457280 is a wasteful number, since it uses less digits than its factorization.

4258457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 4258457280 is about 65256.8561915145. The cubic root of 4258457280 is about 1620.8796320279.

The spelling of 4258457280 in words is "four billion, two hundred fifty-eight million, four hundred fifty-seven thousand, two hundred eighty".