258225408 has 216 divisors, whose sum is σ = 883891008. Its totient is φ = 73654272.

The previous prime is 258225397. The next prime is 258225413. The reversal of 258225408 is 804522852.

258225408 is a `hidden beast` number, since 25 + 8 + 225 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×258225408² = 133360722673532928, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435160 + ... + 435752.

It is an arithmetic number, because the mean of its divisors is an integer number (4092088).

Almost surely, 2^258225408 is an apocalyptic number.

258225408 is a gapful number since it is divisible by the number (28) 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 258225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441945504).

258225408 is an abundant number, since it is smaller than the sum of its proper divisors (625665600).

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

258225408 is an frugal number, since it uses more digits than its factorization.

258225408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 258225408 is about 16069.3935168693. The cubic root of 258225408 is about 636.7950186053.

The spelling of 258225408 in words is "two hundred fifty-eight million, two hundred twenty-five thousand, four hundred eight".