258287040 has 336 divisors, whose sum is σ = 1004230656. Its totient is φ = 60364800.

The previous prime is 258287011. The next prime is 258287063. The reversal of 258287040 is 40782852.

It is a happy number.

258287040 is a `hidden beast` number, since 2 + 582 + 8 + 70 + 4 + 0 = 666.

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 = 258286986 and 258287004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981949 + ... + 982211.

Almost surely, 2^258287040 is an apocalyptic number.

258287040 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 258287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502115328).

258287040 is an abundant number, since it is smaller than the sum of its proper divisors (745943616).

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

258287040 is a wasteful number, since it uses less digits than its factorization.

258287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 258287040 is about 16071.3110852849. The cubic root of 258287040 is about 636.8456769673.

The spelling of 258287040 in words is "two hundred fifty-eight million, two hundred eighty-seven thousand, forty".