258342440 has 96 divisors (see below), whose sum is σ = 630088200. Its totient is φ = 95208960.

The previous prime is 258342439. The next prime is 258342443. The reversal of 258342440 is 44243852.

It can be written as a sum of positive squares in 4 ways, for example, as 122899396 + 135443044 = 11086^2 + 11638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 258342397 and 258342406.

It is not an unprimeable number, because it can be changed into a prime (258342443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613430 + ... + 613850.

Almost surely, 2^258342440 is an apocalyptic number.

258342440 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 258342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315044100).

258342440 is an abundant number, since it is smaller than the sum of its proper divisors (371745760).

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

258342440 is a wasteful number, since it uses less digits than its factorization.

258342440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 258342440 is about 16073.0345610280. The cubic root of 258342440 is about 636.8912060659.

The spelling of 258342440 in words is "two hundred fifty-eight million, three hundred forty-two thousand, four hundred forty".