258100040 has 64 divisors (see below), whose sum is σ = 635454720. Its totient is φ = 93568000.

The previous prime is 258100039. The next prime is 258100067. The reversal of 258100040 is 40001852.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 258099985 and 258100021.

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 15 ways as a sum of consecutive naturals, for example, 188960 + ... + 190320.

It is an arithmetic number, because the mean of its divisors is an integer number (9928980).

Almost surely, 2^258100040 is an apocalyptic number.

258100040 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 258100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317727360).

258100040 is an abundant number, since it is smaller than the sum of its proper divisors (377354680).

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

258100040 is a wasteful number, since it uses less digits than its factorization.

258100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 258100040 is about 16065.4922115695. The cubic root of 258100040 is about 636.6919476208.

Adding to 258100040 its reverse (40001852), we get a palindrome (298101892).

The spelling of 258100040 in words is "two hundred fifty-eight million, one hundred thousand, forty".