258432000 has 176 divisors, whose sum is σ = 860919072. Its totient is φ = 68812800.

The previous prime is 258431983. The next prime is 258432019. The reversal of 258432000 is 234852.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 383664 + ... + 384336.

Almost surely, 2^258432000 is an apocalyptic number.

258432000 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 258432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430459536).

258432000 is an abundant number, since it is smaller than the sum of its proper divisors (602487072).

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

258432000 is an equidigital number, since it uses as much as digits as its factorization.

258432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 258432000 is about 16075.8203523179. The cubic root of 258432000 is about 636.9647949380.

Adding to 258432000 its reverse (234852), we get a palindrome (258666852).

The spelling of 258432000 in words is "two hundred fifty-eight million, four hundred thirty-two thousand".