730895040 has 336 divisors, whose sum is σ = 2725338720. Its totient is φ = 179656704.

The previous prime is 730895023. The next prime is 730895047. The reversal of 730895040 is 40598037.

730895040 is a `hidden beast` number, since 73 + 0 + 89 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 730894986 and 730895004.

It is not an unprimeable number, because it can be changed into a prime (730895047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19753902 + ... + 19753938.

Almost surely, 2^730895040 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 730895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362669360).

730895040 is an abundant number, since it is smaller than the sum of its proper divisors (1994443680).

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

730895040 is a wasteful number, since it uses less digits than its factorization.

730895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 66 counting only the distinct ones).

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

The square root of 730895040 is about 27035.0705565937. The cubic root of 730895040 is about 900.7791770828.

The spelling of 730895040 in words is "seven hundred thirty million, eight hundred ninety-five thousand, forty".