730583040 has 416 divisors, whose sum is σ = 2717577216. Its totient is φ = 165806080.

The previous prime is 730583039. The next prime is 730583057. The reversal of 730583040 is 40385037.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 730582989 and 730583007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15544297 + ... + 15544343.

Almost surely, 2^730583040 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 730583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358788608).

730583040 is an abundant number, since it is smaller than the sum of its proper divisors (1986994176).

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

730583040 is a wasteful number, since it uses less digits than its factorization.

730583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 730583040 is about 27029.2996579638. The cubic root of 730583040 is about 900.6509858071.

The spelling of 730583040 in words is "seven hundred thirty million, five hundred eighty-three thousand, forty".