258425424 has 160 divisors (see below), whose sum is σ = 799948800. Its totient is φ = 79643520.

The previous prime is 258425413. The next prime is 258425459. The reversal of 258425424 is 424524852.

258425424 is a `hidden beast` number, since 2 + 584 + 2 + 54 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307597 + ... + 308435.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^258425424 is an apocalyptic number.

258425424 is a gapful number since it is divisible by the number (24) 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 258425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

258425424 is an abundant number, since it is smaller than the sum of its proper divisors (541523376).

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

258425424 is a wasteful number, since it uses less digits than its factorization.

258425424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 898 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 258425424 is about 16075.6158202415. The cubic root of 258425424 is about 636.9593922066.

The spelling of 258425424 in words is "two hundred fifty-eight million, four hundred twenty-five thousand, four hundred twenty-four".