258884730 has 96 divisors (see below), whose sum is σ = 727992720. Its totient is φ = 63452160.

The previous prime is 258884723. The next prime is 258884737. The reversal of 258884730 is 37488852.

It is an interprime number because it is at equal distance from previous prime (258884723) and next prime (258884737).

It can be written as a sum of positive squares in 8 ways, for example, as 110313009 + 148571721 = 10503^2 + 12189^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (258884737) 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, 478260 + ... + 478800.

Almost surely, 2^258884730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258884730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363996360).

258884730 is an abundant number, since it is smaller than the sum of its proper divisors (469107990).

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

258884730 is a wasteful number, since it uses less digits than its factorization.

258884730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 258884730 is about 16089.8952762285. The cubic root of 258884730 is about 637.3365301738.

The spelling of 258884730 in words is "two hundred fifty-eight million, eight hundred eighty-four thousand, seven hundred thirty".