258461606830 has 192 divisors, whose sum is σ = 561781785600. Its totient is φ = 85310668800.

The previous prime is 258461606813. The next prime is 258461606839. The reversal of 258461606830 is 38606164852.

It is a happy number.

258461606830 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 (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258461606839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 740577496 + ... + 740577844.

It is an arithmetic number, because the mean of its divisors is an integer number (2925946800).

Almost surely, 2^258461606830 is an apocalyptic number.

258461606830 is an abundant number, since it is smaller than the sum of its proper divisors (303320178770).

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

258461606830 is a wasteful number, since it uses less digits than its factorization.

258461606830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 258461606830 in words is "two hundred fifty-eight billion, four hundred sixty-one million, six hundred six thousand, eight hundred thirty".