258010272 has 360 divisors, whose sum is σ = 892805760. Its totient is φ = 72783360.

The previous prime is 258010219. The next prime is 258010283. The reversal of 258010272 is 272010852.

258010272 is a `hidden beast` number, since 2 + 580 + 10 + 2 + 72 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8322897 + ... + 8322927.

It is an arithmetic number, because the mean of its divisors is an integer number (2480016).

Almost surely, 2^258010272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258010272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446402880).

258010272 is an abundant number, since it is smaller than the sum of its proper divisors (634795488).

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

258010272 is a wasteful number, since it uses less digits than its factorization.

258010272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 258010272 is about 16062.6981544198. The cubic root of 258010272 is about 636.6181245789.

The spelling of 258010272 in words is "two hundred fifty-eight million, ten thousand, two hundred seventy-two".