730416960 has 448 divisors, whose sum is σ = 3174796800. Its totient is φ = 153944064.

The previous prime is 730416959. The next prime is 730416961. The reversal of 730416960 is 69614037.

It is an interprime number because it is at equal distance from previous prime (730416959) and next prime (730416961).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730416961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785776 + ... + 786704.

It is an arithmetic number, because the mean of its divisors is an integer number (7086600).

Almost surely, 2^730416960 is an apocalyptic number.

730416960 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 730416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587398400).

730416960 is an abundant number, since it is smaller than the sum of its proper divisors (2444379840).

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

730416960 is a wasteful number, since it uses less digits than its factorization.

730416960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 730416960 is about 27026.2272616805. The cubic root of 730416960 is about 900.5827337201.

The spelling of 730416960 in words is "seven hundred thirty million, four hundred sixteen thousand, nine hundred sixty".