258387840 has 256 divisors, whose sum is σ = 964512000. Its totient is φ = 65193984.

The previous prime is 258387839. The next prime is 258387851. The reversal of 258387840 is 48783852.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327927 + ... + 328713.

It is an arithmetic number, because the mean of its divisors is an integer number (3767625).

Almost surely, 2^258387840 is an apocalyptic number.

258387840 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 258387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482256000).

258387840 is an abundant number, since it is smaller than the sum of its proper divisors (706124160).

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

258387840 is a wasteful number, since it uses less digits than its factorization.

258387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 258387840 is about 16074.4468023008. The cubic root of 258387840 is about 636.9285120632.

The spelling of 258387840 in words is "two hundred fifty-eight million, three hundred eighty-seven thousand, eight hundred forty".