258082440 has 512 divisors, whose sum is σ = 1074954240. Its totient is φ = 47923200.

The previous prime is 258082403. The next prime is 258082469. The reversal of 258082440 is 44280852.

It is a happy number.

It is a super-3 number, since 3×258082440³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4869454 + ... + 4869506.

It is an arithmetic number, because the mean of its divisors is an integer number (2099520).

Almost surely, 2^258082440 is an apocalyptic number.

258082440 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 258082440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537477120).

258082440 is an abundant number, since it is smaller than the sum of its proper divisors (816871800).

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

258082440 is a wasteful number, since it uses less digits than its factorization.

258082440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 258082440 is about 16064.9444443484. The cubic root of 258082440 is about 636.6774751537.

The spelling of 258082440 in words is "two hundred fifty-eight million, eighty-two thousand, four hundred forty".