730458729 has 189 divisors, whose sum is σ = 1516344039. Its totient is φ = 350269920.

The previous prime is 730458697. The next prime is 730458733. The reversal of 730458729 is 927854037.

The square root of 730458729 is 27027.

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., 108056025 + 622402704 = 10395^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 730458729 - 2⁵ = 730458697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (730450729) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 56189127 + ... + 56189139.

Almost surely, 2^730458729 is an apocalyptic number.

730458729 is the 27027-th square number.

730458729 is the 13514-th centered octagonal number.

It is an amenable number.

730458729 is an abundant number, since it is smaller than the sum of its proper divisors (785885310).

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

730458729 is a wasteful number, since it uses less digits than its factorization.

730458729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The cubic root of 730458729 is about 900.5999000444.

The spelling of 730458729 in words is "seven hundred thirty million, four hundred fifty-eight thousand, seven hundred twenty-nine".