258229440 has 168 divisors, whose sum is σ = 1015166880. Its totient is φ = 59019264.

The previous prime is 258229429. The next prime is 258229451. The reversal of 258229440 is 44922852.

It is an interprime number because it is at equal distance from previous prime (258229429) and next prime (258229451).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258229395 and 258229404.

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 23 ways as a sum of consecutive naturals, for example, 13756 + ... + 26564.

It is an arithmetic number, because the mean of its divisors is an integer number (6042660).

Almost surely, 2^258229440 is an apocalyptic number.

258229440 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 258229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507583440).

258229440 is an abundant number, since it is smaller than the sum of its proper divisors (756937440).

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

258229440 is a wasteful number, since it uses less digits than its factorization.

258229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12839 (or 12826 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 258229440 is about 16069.5189722655. The cubic root of 258229440 is about 636.7983329502.

The spelling of 258229440 in words is "two hundred fifty-eight million, two hundred twenty-nine thousand, four hundred forty".