730363920 has 240 divisors, whose sum is σ = 2676203712. Its totient is φ = 163338240.

The previous prime is 730363913. The next prime is 730363939. The reversal of 730363920 is 29363037.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 445342 + ... + 446978.

Almost surely, 2^730363920 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 730363920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338101856).

730363920 is an abundant number, since it is smaller than the sum of its proper divisors (1945839792).

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

730363920 is a wasteful number, since it uses less digits than its factorization.

730363920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The square root of 730363920 is about 27025.2459748288. The cubic root of 730363920 is about 900.5609342699.

The spelling of 730363920 in words is "seven hundred thirty million, three hundred sixty-three thousand, nine hundred twenty".