730258920 has 192 divisors, whose sum is σ = 2514283200. Its totient is φ = 183306240.

The previous prime is 730258897. The next prime is 730258933. The reversal of 730258920 is 29852037.

It is a happy number.

730258920 is a `hidden beast` number, since 73 + 0 + 2 + 589 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648219 + ... + 1648661.

It is an arithmetic number, because the mean of its divisors is an integer number (13095225).

Almost surely, 2^730258920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730258920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257141600).

730258920 is an abundant number, since it is smaller than the sum of its proper divisors (1784024280).

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

730258920 is a wasteful number, since it uses less digits than its factorization.

730258920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 730258920 is about 27023.3032769867. The cubic root of 730258920 is about 900.5177761368.

The spelling of 730258920 in words is "seven hundred thirty million, two hundred fifty-eight thousand, nine hundred twenty".