258416440 has 32 divisors (see below), whose sum is σ = 595622160. Its totient is φ = 100844800.

The previous prime is 258416407. The next prime is 258416441. The reversal of 258416440 is 44614852.

It is a junction number, because it is equal to n+sod(n) for n = 258416396 and 258416405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258416441) 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 7 ways as a sum of consecutive naturals, for example, 77146 + ... + 80425.

Almost surely, 2^258416440 is an apocalyptic number.

258416440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258416440 is an abundant number, since it is smaller than the sum of its proper divisors (337205720).

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

258416440 is a wasteful number, since it uses less digits than its factorization.

258416440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157623 (or 157619 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 258416440 is about 16075.3363883932. The cubic root of 258416440 is about 636.9520109547.

The spelling of 258416440 in words is "two hundred fifty-eight million, four hundred sixteen thousand, four hundred forty".