258434064 has 200 divisors, whose sum is σ = 870712128. Its totient is φ = 72472320.

The previous prime is 258434041. The next prime is 258434069. The reversal of 258434064 is 460434852.

258434064 is a `hidden beast` number, since 258 + 4 + 340 + 64 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (258434069) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 553159 + ... + 553625.

Almost surely, 2^258434064 is an apocalyptic number.

258434064 is a gapful number since it is divisible by the number (24) 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 258434064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435356064).

258434064 is an abundant number, since it is smaller than the sum of its proper divisors (612278064).

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

258434064 is a wasteful number, since it uses less digits than its factorization.

258434064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 258434064 is about 16075.8845479806. The cubic root of 258434064 is about 636.9664906669.

The spelling of 258434064 in words is "two hundred fifty-eight million, four hundred thirty-four thousand, sixty-four".