258409602480 has 40 divisors (see below), whose sum is σ = 801069768432. Its totient is φ = 68909227264.

The previous prime is 258409602469. The next prime is 258409602487. The reversal of 258409602480 is 84206904852.

It is a happy number.

258409602480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (258409602487) 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 7 ways as a sum of consecutive naturals, for example, 538353099 + ... + 538353578.

Almost surely, 2^258409602480 is an apocalyptic number.

258409602480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258409602480 is an abundant number, since it is smaller than the sum of its proper divisors (542660165952).

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

258409602480 is a wasteful number, since it uses less digits than its factorization.

258409602480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076706693 (or 1076706687 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 258409602480 in words is "two hundred fifty-eight billion, four hundred nine million, six hundred two thousand, four hundred eighty".