258934320 has 200 divisors, whose sum is σ = 929047680. Its totient is φ = 66769920.

The previous prime is 258934279. The next prime is 258934321. The reversal of 258934320 is 23439852.

258934320 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258934321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200236 + ... + 201524.

Almost surely, 2^258934320 is an apocalyptic number.

258934320 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 258934320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464523840).

258934320 is an abundant number, since it is smaller than the sum of its proper divisors (670113360).

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

258934320 is a wasteful number, since it uses less digits than its factorization.

258934320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 258934320 is about 16091.4362317352. The cubic root of 258934320 is about 637.3772220301.

The spelling of 258934320 in words is "two hundred fifty-eight million, nine hundred thirty-four thousand, three hundred twenty".