258306840 has 256 divisors, whose sum is σ = 995328000. Its totient is φ = 58890240.

The previous prime is 258306821. The next prime is 258306863. The reversal of 258306840 is 48603852.

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 = 258306795 and 258306804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201321 + ... + 202599.

It is an arithmetic number, because the mean of its divisors is an integer number (3888000).

Almost surely, 2^258306840 is an apocalyptic number.

258306840 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 258306840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497664000).

258306840 is an abundant number, since it is smaller than the sum of its proper divisors (737021160).

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

258306840 is a wasteful number, since it uses less digits than its factorization.

258306840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1317 counting only the distinct ones).

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

The square root of 258306840 is about 16071.9270779829. The cubic root of 258306840 is about 636.8619498476.

The spelling of 258306840 in words is "two hundred fifty-eight million, three hundred six thousand, eight hundred forty".