258630724 has 81 divisors (see below), whose sum is σ = 541051581. Its totient is φ = 108071040.

The previous prime is 258630661. The next prime is 258630727. The reversal of 258630724 is 427036852.

The square root of 258630724 is 16082.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 201356100 + 57274624 = 14190^2 + 7568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258630727) 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 26 ways as a sum of consecutive naturals, for example, 6014647 + ... + 6014689.

Almost surely, 2^258630724 is an apocalyptic number.

258630724 is the 16082-nd square number.

It is an amenable number.

258630724 is an abundant number, since it is smaller than the sum of its proper divisors (282420857).

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

258630724 is a wasteful number, since it uses less digits than its factorization.

258630724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The cubic root of 258630724 is about 637.1280200297.

The spelling of 258630724 in words is "two hundred fifty-eight million, six hundred thirty thousand, seven hundred twenty-four".