258552000 has 672 divisors, whose sum is σ = 1153850880. Its totient is φ = 55987200.

The previous prime is 258551989. The next prime is 258552011. The reversal of 258552000 is 255852.

258552000 = 45³ + 46³ + ... + 179³.

It is an interprime number because it is at equal distance from previous prime (258551989) and next prime (258552011).

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13607991 + ... + 13608009.

It is an arithmetic number, because the mean of its divisors is an integer number (1717040).

Almost surely, 2^258552000 is an apocalyptic number.

258552000 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 258552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576925440).

258552000 is an abundant number, since it is smaller than the sum of its proper divisors (895298880).

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

258552000 is an equidigital number, since it uses as much as digits as its factorization.

258552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 258552000 is about 16079.5522325717. The cubic root of 258552000 is about 637.0633688346.

The spelling of 258552000 in words is "two hundred fifty-eight million, five hundred fifty-two thousand".