729454320 has 240 divisors, whose sum is σ = 2829408192. Its totient is φ = 164966400.

The previous prime is 729454303. The next prime is 729454373. The reversal of 729454320 is 23454927.

729454320 is a `hidden beast` number, since 7 + 2 + 94 + 543 + 20 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508324 + ... + 509756.

Almost surely, 2^729454320 is an apocalyptic number.

729454320 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 729454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414704096).

729454320 is an abundant number, since it is smaller than the sum of its proper divisors (2099953872).

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

729454320 is a wasteful number, since it uses less digits than its factorization.

729454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 729454320 is about 27008.4120229235. The cubic root of 729454320 is about 900.1869241373.

The spelling of 729454320 in words is "seven hundred twenty-nine million, four hundred fifty-four thousand, three hundred twenty".