258102840 has 128 divisors (see below), whose sum is σ = 863136000. Its totient is φ = 61360128.

The previous prime is 258102833. The next prime is 258102841. The reversal of 258102840 is 48201852.

258102840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 258102798 and 258102807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258102841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35431 + ... + 42089.

It is an arithmetic number, because the mean of its divisors is an integer number (6743250).

Almost surely, 2^258102840 is an apocalyptic number.

258102840 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 258102840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431568000).

258102840 is an abundant number, since it is smaller than the sum of its proper divisors (605033160).

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

258102840 is a wasteful number, since it uses less digits than its factorization.

258102840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6705 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 258102840 is about 16065.5793546327. The cubic root of 258102840 is about 636.6942499981.

The spelling of 258102840 in words is "two hundred fifty-eight million, one hundred two thousand, eight hundred forty".