258917440 has 112 divisors (see below), whose sum is σ = 650760192. Its totient is φ = 97929216.

The previous prime is 258917377. The next prime is 258917441. The reversal of 258917440 is 44719852.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 258917393 and 258917402.

It is not an unprimeable number, because it can be changed into a prime (258917441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934582 + ... + 934858.

Almost surely, 2^258917440 is an apocalyptic number.

258917440 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 258917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325380096).

258917440 is an abundant number, since it is smaller than the sum of its proper divisors (391842752).

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

258917440 is a wasteful number, since it uses less digits than its factorization.

258917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 258917440 is about 16090.9117205956. The cubic root of 258917440 is about 637.3633714633.

The spelling of 258917440 in words is "two hundred fifty-eight million, nine hundred seventeen thousand, four hundred forty".