258984649 has 45 divisors (see below), whose sum is σ = 349752285. Its totient is φ = 191184840.

The previous prime is 258984601. The next prime is 258984653. The reversal of 258984649 is 946489852.

The square root of 258984649 is 16093.

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

It is not a de Polignac number, because 258984649 - 2⁷ = 258984521 is a prime.

Its product of digits (4976640) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 258984649.

It is not an unprimeable number, because it can be changed into a prime (258984679) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13630762 + ... + 13630780.

It is an arithmetic number, because the mean of its divisors is an integer number (7772273).

Almost surely, 2^258984649 is an apocalyptic number.

258984649 is the 16093-rd square number.

258984649 is the 8047-th centered octagonal number.

It is an amenable number.

258984649 is a deficient number, since it is larger than the sum of its proper divisors (90767636).

258984649 is an frugal number, since it uses more digits than its factorization.

258984649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 37 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 55.

The cubic root of 258984649 is about 637.4185149727.

The spelling of 258984649 in words is "two hundred fifty-eight million, nine hundred eighty-four thousand, six hundred forty-nine".