7258658401 has 8 divisors (see below), whose sum is σ = 7540538624. Its totient is φ = 6979761360.

The previous prime is 7258658383. The next prime is 7258658423. The reversal of 7258658401 is 1048568527.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 7258658401 - 2²⁵ = 7225103969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7258658471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740835 + ... + 750568.

It is an arithmetic number, because the mean of its divisors is an integer number (942567328).

Almost surely, 2^7258658401 is an apocalyptic number.

It is an amenable number.

7258658401 is a deficient number, since it is larger than the sum of its proper divisors (281880223).

7258658401 is a wasteful number, since it uses less digits than its factorization.

7258658401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491591.

The product of its (nonzero) digits is 537600, while the sum is 46.

The square root of 7258658401 is about 85197.7605398170. The cubic root of 7258658401 is about 1936.2084874146.

The spelling of 7258658401 in words is "seven billion, two hundred fifty-eight million, six hundred fifty-eight thousand, four hundred one".