258746400 has 432 divisors, whose sum is σ = 1040745888. Its totient is φ = 62726400.

The previous prime is 258746399. The next prime is 258746401. The reversal of 258746400 is 4647852.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

258746400 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (258746399) and next prime (258746401).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (258746401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 23522395 + ... + 23522405.

It is an arithmetic number, because the mean of its divisors is an integer number (2409134).

Almost surely, 2^258746400 is an apocalyptic number.

258746400 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 258746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520372944).

258746400 is an abundant number, since it is smaller than the sum of its proper divisors (781999488).

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

258746400 is an equidigital number, since it uses as much as digits as its factorization.

258746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 258746400 is about 16085.5960411792. The cubic root of 258746400 is about 637.2229938397. Note that the first 3 decimals are identical.

The spelling of 258746400 in words is "two hundred fifty-eight million, seven hundred forty-six thousand, four hundred".