730460640 has 288 divisors, whose sum is σ = 2883716640. Its totient is φ = 154054656.

The previous prime is 730460629. The next prime is 730460669. The reversal of 730460640 is 46064037.

730460640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 730460598 and 730460607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 304566 + ... + 306954.

It is an arithmetic number, because the mean of its divisors is an integer number (10012905).

Almost surely, 2^730460640 is an apocalyptic number.

730460640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441858320).

730460640 is an abundant number, since it is smaller than the sum of its proper divisors (2153256000).

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

730460640 is a wasteful number, since it uses less digits than its factorization.

730460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 730460640 is about 27027.0353535122. The cubic root of 730460640 is about 900.6006854161.

The spelling of 730460640 in words is "seven hundred thirty million, four hundred sixty thousand, six hundred forty".