258264000 has 336 divisors, whose sum is σ = 982833696. Its totient is φ = 64512000.

The previous prime is 258263989. The next prime is 258264001. The reversal of 258264000 is 462852.

258264000 is a `hidden beast` number, since 258 + 2 + 6 + 400 + 0 = 666.

258264000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258264001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1223895 + ... + 1224105.

Almost surely, 2^258264000 is an apocalyptic number.

258264000 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 258264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491416848).

258264000 is an abundant number, since it is smaller than the sum of its proper divisors (724569696).

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

258264000 is a wasteful number, since it uses less digits than its factorization.

258264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 258264000 is about 16070.5942640588. The cubic root of 258264000 is about 636.8267402052.

The spelling of 258264000 in words is "two hundred fifty-eight million, two hundred sixty-four thousand".