258948072 has 48 divisors (see below), whose sum is σ = 702507780. Its totient is φ = 86169600.

The previous prime is 258948071. The next prime is 258948091. The reversal of 258948072 is 270849852.

258948072 is a `hidden beast` number, since 25 + 89 + 480 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 239816196 + 19131876 = 15486^2 + 4374^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258948071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44872 + ... + 50312.

Almost surely, 2^258948072 is an apocalyptic number.

It is an amenable number.

258948072 is an abundant number, since it is smaller than the sum of its proper divisors (443559708).

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

258948072 is a wasteful number, since it uses less digits than its factorization.

258948072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 258948072 is about 16091.8635340970. The cubic root of 258948072 is about 637.3885055303.

The spelling of 258948072 in words is "two hundred fifty-eight million, nine hundred forty-eight thousand, seventy-two".