258449849280 has 840 divisors, whose sum is σ = 1087891398000. Its totient is φ = 58056155136.

The previous prime is 258449849267. The next prime is 258449849291. The reversal of 258449849280 is 82948944852.

258449849280 is a `hidden beast` number, since 2 + 5 + 84 + 498 + 49 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74932996 + ... + 74936444.

Almost surely, 2^258449849280 is an apocalyptic number.

258449849280 is a gapful number since it is divisible by the number (20) 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 258449849280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543945699000).

258449849280 is an abundant number, since it is smaller than the sum of its proper divisors (829441548720).

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

258449849280 is a wasteful number, since it uses less digits than its factorization.

258449849280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 258449849280 in words is "two hundred fifty-eight billion, four hundred forty-nine million, eight hundred forty-nine thousand, two hundred eighty".