258793920 has 448 divisors, whose sum is σ = 1141171200. Its totient is φ = 53637120.

The previous prime is 258793879. The next prime is 258793943. The reversal of 258793920 is 29397852.

258793920 is a `hidden beast` number, since 258 + 7 + 9 + 392 + 0 = 666.

258793920 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 (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665086 + ... + 665474.

Almost surely, 2^258793920 is an apocalyptic number.

258793920 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 258793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570585600).

258793920 is an abundant number, since it is smaller than the sum of its proper divisors (882377280).

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

258793920 is a wasteful number, since it uses less digits than its factorization.

258793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 258793920 is about 16087.0730712582. The cubic root of 258793920 is about 637.2620011240.

The spelling of 258793920 in words is "two hundred fifty-eight million, seven hundred ninety-three thousand, nine hundred twenty".