258405792 has 48 divisors (see below), whose sum is σ = 681583392. Its totient is φ = 85720320.

The previous prime is 258405787. The next prime is 258405803. The reversal of 258405792 is 297504852.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13878 + ... + 26634.

It is an arithmetic number, because the mean of its divisors is an integer number (14199654).

Almost surely, 2^258405792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258405792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340791696).

258405792 is an abundant number, since it is smaller than the sum of its proper divisors (423177600).

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

258405792 is a wasteful number, since it uses less digits than its factorization.

258405792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12981 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 258405792 is about 16075.0051944004. The cubic root of 258405792 is about 636.9432623392.

The spelling of 258405792 in words is "two hundred fifty-eight million, four hundred five thousand, seven hundred ninety-two".