258405824424 has 64 divisors (see below), whose sum is σ = 716688000000. Its totient is φ = 76977590720.

The previous prime is 258405824407. The next prime is 258405824461. The reversal of 258405824424 is 424428504852.

It is a super-2 number, since 2×258405824424² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8279424 + ... + 8310575.

It is an arithmetic number, because the mean of its divisors is an integer number (11198250000).

Almost surely, 2^258405824424 is an apocalyptic number.

258405824424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

258405824424 is an abundant number, since it is smaller than the sum of its proper divisors (458282175576).

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

258405824424 is a wasteful number, since it uses less digits than its factorization.

258405824424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16590078 (or 16590074 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 48.

The spelling of 258405824424 in words is "two hundred fifty-eight billion, four hundred five million, eight hundred twenty-four thousand, four hundred twenty-four".